{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "Reducing dimensionality with PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=None, random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn import datasets\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "%matplotlib inline\n",
    "iris = datasets.load_iris()\n",
    "iris_X = iris.data\n",
    "y = iris.target\n",
    "\n",
    "from sklearn import decomposition\n",
    "pca = decomposition.PCA()\n",
    "pca"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ -2.68420713e+00,   3.26607315e-01,  -2.15118370e-02,\n",
       "          1.00615724e-03],\n",
       "       [ -2.71539062e+00,  -1.69556848e-01,  -2.03521425e-01,\n",
       "          9.96024240e-02],\n",
       "       [ -2.88981954e+00,  -1.37345610e-01,   2.47092410e-02,\n",
       "          1.93045428e-02],\n",
       "       [ -2.74643720e+00,  -3.11124316e-01,   3.76719753e-02,\n",
       "         -7.59552741e-02],\n",
       "       [ -2.72859298e+00,   3.33924564e-01,   9.62296998e-02,\n",
       "         -6.31287327e-02]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_pca = pca.fit_transform(iris_X)\n",
    "iris_pca[:5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.92461621,  0.05301557,  0.01718514,  0.00518309])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(150L, 2L)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = decomposition.PCA(n_components=2)\n",
    "iris_X_prime = pca.fit_transform(iris_X)\n",
    "iris_X_prime.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.97763177502480336"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0xd5ffb00>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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PPcbcKVO4MyODoSkp3JuZyebPPmPYzTc7HU18pDWBRIrJgQMHaN78Un77rTZZWRcDLqKj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\nqATt2rWLFi0u5dixi3G7mwIuIiOX0b5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SfmG9Sko61m5AbcAdqAQM5Pvvp1GlShVq164t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\nTwXn1u3QoQMx0TH89ddfJCUl0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XV03pehobTt1InWrVsXXyM9QGhoKIOGDOYzAxuAaFzT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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xd2a9f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,7))\n",
    "ax = fig.add_subplot(121)\n",
    "ax.scatter(iris_X[:,0],iris_X[:,1],c=y,s=40)\n",
    "ax.set_title('Before PCA')\n",
    "\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax2.scatter(iris_X_prime[:,0],iris_X_prime[:,1],c=y,s=40)\n",
    "ax2.set_title('After PCA')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.99481691454981014"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = decomposition.PCA(n_components=.98)\n",
    "iris_X_prime = pca.fit(iris_X).transform(iris_X)\n",
    "pca.explained_variance_ratio_.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(copy=True, iterated_power='auto', n_components=0.98, random_state=None,\n",
       "  svd_solver='auto', tol=0.0, whiten=False)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "iris_X_prime"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn import preprocessing\n",
    "\n",
    "iris_X_scaled = preprocessing.scale(iris_X)\n",
    "pca = decomposition.PCA(n_components=2)\n",
    "iris_X_scaled = pca.fit_transform(iris_X_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0xd3b8908>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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IiIgUKxWJAo/yr5IjJSWF2rXrk5raH2jgG3UTGTmRd999iUGDBjkZnoiIBLCi5GDqSSQi\nIiIiUkJ8+eWXWFufvwtEAC7S0s5h1Kg3HIpKRERKCxWJRERERERKiD179pCREVXAkUrs2bOn2OMR\nEZHSRUUiEREREZES4txzzyUiYj2Qe9R4cHASPXv2cCYoEREpNdSTSERERIqVehIFHuVfJYe1lp49\nL+bXX3eSkXEu4MKY5ZQvv5jFi3+jYcOGTocoImWEtZbt27cTGRlJpUqVnA5HikA9iUREREREShFj\nDLNmTWP48CupUWMm5cuPp3//yvz223wViESk2HzzzTc0qlOHlo0bE1ujBpf26cOuXbucDkv8QDOJ\nREREpFhpJlHgUf4lIiJFNW/ePPr36cOlbjcNgCxgfkgIe+vXZ9nq1QQHBzsdohyHZhKJiIiIiIiI\niN88/+STdHe7aQgYIBzomZODe+dOZs+e7XB0crpUJBIRERERERGRIklcuZK6+cYMEJuVRWJiohMh\niR+FOB2AiIiIiIiIiJQMjRo3ZvvOnVTLN74rPJzGjRsDsG/fPsZ/8AGJy5fTqm1bbrjxRqKjo4s/\nWDlp6kkkIiIixUo9iQKP8i8RESmq2bNnc93ll3Ol200tIBdYGBTEupgYkjZuZOXKlfTq0YMG2dlU\nT09nV7lybA4PZ868ebRq1crp8Mu0ouRgKhKJiIhIsVKRKPAo/xIRkZMxfvx4hv/734Tl5pKWnU3L\nVq345IsvqF+/Pu1atKD+qlW0z3P+ImBHmzb8vnSpUyELKhKJiIhIAFKRKPAo/xIRkZOVnZ3N6tWr\nqVixInXrersUJScn07Z5c+5NTz+qAXIuMDo8nNUbNhATE+NIvFK0HEw9iURERERERETkpISGhtK6\ndeujxnJycggxhvxVCAMEBQWRk5NTbPHJqdHuZiIiIiIiIiJy2ho2bEilKlVIyje+GoiJiaFOnTpO\nhCUnQTOJREREREREROS0GWN478MPGdCvH9uzsojJyWFbaCjLwsKYNn48xmi1eaBTTyIREREpVupJ\nFHiUf4mIiD+tXbuW10aPJnHZMlq3a8dd991Ho0aNnA6rzFPjahEREQk4KhIFHuVfIiIipV9RcjD1\nJBIRERERERERERWJRERERERERERERSIREREREREREUFFIhERERERERERQUUiERERERERERFBRSIR\nEREREREREUFFIhERERERERERQUUiERERERERERFBRSIREREREREREUFFIhERERERERERQUUiERER\nERERERFBRSIREREREREREUFFIhERERERERERQUUiERERERERERFBRSIREREREREREQFCnA5ARERE\nRKSsy8rKYubMmWzbto1OnTpx9tlnY4xxOiwRESljjLXW6RiOYoyxgRaTiIiI+I8xBmutfvsNIMq/\nnLVixQp69epNenoU2dnRBAdvpGPH1nz77Te4XC6nwxMRkVKiKDmYikQiIiJSrFQkCjzKv5zj8Xio\nX78JW7a0Adr5RnOJiJjKLbf05LXXXnUyPBERKUWKkoP5pSeRMeZ9Y8wuY8yy4xw/3xhz0Bjzp+/P\nY/54roiIiIhISfbrr79y8GAW0DbPaDAZGefzwQcfOBWWiIiUUf7qSfQB8Brw4QnO+dlae5mfnici\nIiIiUuLt378fYyoA+T/YrYDbfRhrrXoTiYhIsfHLTCJr7S/AgUJO079uIiIiIiJ5dOnShayszUBq\nviMr6dChiwpEIiJSrPxSJCqibsaYJcaYGcaYFsX4XBERERGRgFS1alXuu+9eIiMnAUnAfuA3XK45\njBnzX4ejExGRssZfy80Kswioa611G2P6AlOApsc7eeTIkX99HRcXR1xc3JmOT0RERM6Q+Ph44uPj\nnQ5DJGA999zTtGzZjBdeeJWdO3fQqVMnnnnmBzp16uR0aCIiUsb4bXczY0w9YJq1tk0Rzt0IdLTW\n7i/gmHbXEBERKcW0u1ngUf4lIiJS+hXb7mZHnsdx+g4ZY2rk+fpsvMWpYwpEIiIiIiIiIiLiDL8s\nNzPGTATigCrGmM3ACCAMsNbad4CrjDG3A9lAOnCNP54rIiIiIiIiIiL+4bflZv6i6c4iIiKlm5ab\nBR7lXyIiIqVfcS83ExEREZEAY4ypbYyZY4xZaYxZboy5x+mYREREJDBpJpGIiIgUK80kKl7GmJpA\nTWvtEmNMFN5dZ/tba1fnOUf5l4iISCmnmUQiIiIiZZy1dqe1donv61RgFRDrbFQiIiISiFQkEhER\nESkjjDH1gXbAr85GIiIiIoHIL7ubiYiIiEhg8y01+xK41zej6CgjR4786+u4uDji4uKKLTYRERHx\nv/j4eOLj40/qGvUkEhGRUm3jxo0cPHiQFi1aEB4e7nQ4gnoSOcEYEwJMB7611o4p4LjyLxERKdSh\nQ4dYvnw51apVo2nTpk6HIydJPYlERKTM2rRpE906dqRDy5b0j4sjplo13h43zumwRJzyPyCxoAKR\niIhIYay1PP3kk9SuWZMb+vWjW/v2dO3QgS1btjgdmviZZhKJiEipk5OTw1kNG9J42za6eDwEA7uB\nL1wuPvj8c/r16+d0iGWaZhIVL2PMucDPwHLA+v48Yq2dlecc5V8lnMfjYdWqVYSFhdG4cWOM0V8x\nEfGf8ePH8/hddzEwLY2KQC6wIDiY7Q0asCIpSf/NKSE0k0gKtGnTJiZPnsyCBQtQQigipdGsWbPg\n4EHO8RWIAKoDPdxuXnr6aSdDEyl21tr51tpga207a217a22HvAUiKflmzZpFTEx9unTpRbt23Wja\ntBWLFy92OiwRKUVefvZZevoKRADBwLm5uRzauZOff/7ZydDEz9S4ugzJycnhhhtuYfLkrwkLa4DH\ns4eaNSsxe/Z0GjRo4HR4IiJ+s379empkZR0zHgP8unFj8QckInKGrFy5kiuvHITbfRnQALCsW7ec\nuLiL2LBhDVWqVHE6RBEpBbZs384l+cYMUBNITk52ICI5UzSTqAx59tnnmTJlARkZd3Lo0OWkpv6T\nDRvq0Lv3PzSjSERKlZYtW7I1NJT8/2VL9h0TESktRo0aS2ZmB6Ah3l/ZgoC2ZGfX58MPP3Q2OBEp\nNVo2b07+j9lygU0eD23atHEiJDlDVCQqQ1577U3c7l7Akd19DB5PV3bsOMhvv/3mZGgiIn51wQUX\nEF23Lj+EhpKBtwHLemCey8Ujebb5FhE50w4dOsTSpUvZt2/fGbn/ypWryc2tdcx4eno1Vq5cc0ae\nKSJlz8jnnmOOy8V6vHnVYWBGeDjtOnemXbt2Dkcn/qQiURly4MAeIP+UY0NQUBV27NjhREgiImdE\nUFAQP/z0E7X69mVMWBijwsNJqFOH8Z9+So8ePZwOT0TKgNzcXO6++9/UqBFLjx6XEhtbj0GDhpKe\nnu7X53To0IaQkK3HjEdG7qR9+9Z+fZaIlF0XX3wx7338MQvr1ePF0FDGRUTQcfBgvp4+3enQxM+0\nu1kZ0qZNJ5YvbwS0yDOaQUTEGyQlraROnTpOhSYicsakpqaSlpZG9erVtfNGgNDuZoFH+Zf/Pfjg\nI7z++pe+XkHlgXQiImbRv39rJk36yG/PWbduHe3adSYt7UK8OZ4HY/4gOnoJGzasoUKFCn57loiI\ntZZDhw5Rrlw5wsLCnA5HTlJRcjAVicqQ2bNnM2DANaSnXwQ0Afbhcs1h4MAejB//ntPhiYhIGaEi\nUeBR/uVfWVlZREdXJy3tRqByniPeD+c2b15PtWrV/Pa8hIQEhg27nY0bN2Cthw4dOjFhwrs0bdrU\nb88QEZGST0UiOcb333/P8OGPsmLFEqKjq3PffXfy4IMPEBwcXPjFIiIifqAiUeBR/uVfO3fupGHD\n5qSn33fMsQoVxvPjj1/QqVOnM/Lc0NBQ7WgmIiIFUpFIREREAo6KRIFH+Zd/ZWdnU6VKTQ4fHgxU\nzXPETUTEm2zblkx0dLRT4YmISBlVlBxMjatFRERERPwoNDSUBx74Dy7XdODIrmYplCs3jeuuG6IC\nkYiIBKwQpwMQERERESltHnnkIXJzPbz88it4PMFYm8WwYcMYNeolp0MTERE5Li03ExERkWKl5WaB\nR/nXmZOVlcWuXbuoWrUq5cqVczocEREpw9STSERERAKOikSBR/mXiIhI6aeeRCIiIiIiIiIiUiQq\nEomIiIiIiIiIiIpEIiIiIiIiIiKiIpGIiIiIiIiIiKAikYiIiIiIiIiIACFOByAnz1rLDz/8wMcf\nT8Lj8XDttVfRt29fgoJU8xMRERERERGRU2MCbbtTbcF6YtZabrhhGJMnzyItrTUQRGTkCi68sCuT\nJ3+mQpGIiB9ZazFGO7X7W1G2X5XipfxLRESk9CtKDqaKQgnz448/+gpENwLnAF1JS7uBH374ja+/\n/trh6ERESodvv/2W9i1bEhIcTPXoaJ4cMYKcnBynwxIREREROaNUJCphJk783DeDKDzPaChpaW35\n8MNJToUlIlJqzJo1i+uuuopmiYk8ai0DDxzg05dfZtgNNzgdmoiIiIjIGaUiUQnj8XiAgmaHGd8x\nERE5HY8OH87FbjfNgGCgOnCF282UyZNJTk52ODoRERERkTNHRaIS5tprryIycgWQnWc0l8jI5QwZ\ncrVTYYmIlBpLExNpnG8sHKgfFsaff/7pREgiIn6hDxRFRKQwKhKVML1796Zv3/OIjPwQ+AP4k8jI\njzn33BZceeWVTocnIlLi1YiOZm++MQvs8XiIjY11IiQRkRNKSEhg8OCh9OzZhxdffIkDBw4cdXzK\nlCk0adKK4OAQKlWqxuOPq8+aiIgUTLublUAej4dp06YxYcJEcnM9DBlyNVdccQXBwcFOhyYiUuI9\n98wzjH/+ea50u4kAPMDCoCC2N27MstWrtduZH2h3s8Cj/KvkGjXqVR5//FnS0zthbUXKlVtLpUr7\nWLRoIbVq1WLq1Klce+1NpKf3BRoBe3G5fuCqq7ozYcL7TocvIiLFqCg5mIpEIiIieeTm5vKvW25h\n0qefUj88nL25uVSrU4dps2ZRr149p8MrFVQkCjzKv0qm3bt3U69eIzIybgEq/TUeEvI9Q4e25P33\n3+ass1qTlNQGaJrnykzCw19j3bpV1K5du7jDFhERhxQlB9Nys1IiNzcXJXciIqcvODiYdz/4gFXr\n1vHcxx8zLT6epYmJKhCJSMD57rvvCAlpTN4CEUBOTge+/noK1lqSklZAAZ3WIiLqsXTp0uIKVURE\nSggViUq4yZMn07hxC0JCQqlcubrWmIuI+Ent2rW59NJL6dSpk5aYiUhACgkJwZiCmlHnEhwcgjGG\nypWrwTGd1jzk5OxWnzURETmGikQl2Ndff83119/K+vUdgMdJSbmGUaM+Y9iw25wOTURERETOsL59\n+5KTsxHYnWfUEhb2G4MGeXe9vffeu3G5fgAyfMc9BAf/QsOGdWnbtm2B992/fz9Tp05l7ty5+vBR\nRKSMUU+iEqxJk1asW9cOaJJnVGvMRUQksKknUeBR/lVyffTRx9x2213k5LQhO7s8UVHriYkJ5ddf\n51GpUiVycnL45z9vZ9KkSYSH1yMnZw+NGtVh5sxvCpxJ9Oyzz/PMM88RFlYPcBMWlsG0aZPp2rVr\n8b+ciIj4lRpXl2Iej8e3m9kT5J8QVrHiF0yc+BKXXHKJI7GJiIiciIpEgUf5V8mWlJTEe+/9jx07\ndnPRRXFcffXVREREHHXOtm3bWLp0KbGxscedQTR16lQGDboNt3sQUNE3uoYKFb5j69ZNlC9f/sy+\niIiInFEqEpVy0dHVOXBgIFA9z6gHl+stEhK+P24CICIi4iQViQKP8i8B6N69F/PnVwLaHDUeGTmZ\nsWPv5eabb3YmMBER8QvtblbK3XPPXcesMQ8J+YUmTeqrQCQiIiIiJ2X79h1A1WPG3e6KbN++vfgD\nEhGRYhfidABy6h577BGSk7cwadIbhIXVITd3D40b12fmzClOhyYiIiIiJcy553Zh8+Z15ObG5Bn1\nEBmZzNlnn+1YXCIiUny03KwU2L59O8uWLSM2NpbWrVs7HY6IiMgJablZ4FH+JQBr1qyhU6dupKae\ng3fJmZvw8Hm0aBHKH38kEBSkRQgiIiWZehKJiIhIwFGRKPAo/5IjlixZwn33Pcgvv8wlIsLF9dcP\n4aWXnldwD1KdAAAgAElEQVTTahGRUkBFIhEREQk4KhIFHuVfIiIipZ8aV4uIiIiIiIiISJH4pUhk\njHnfGLPLGLPsBOeMNcasNcYsMca088dzRURERERERETEP/w1k+gDoPfxDhpj+gKNrLVNgNuAcX56\nroiIiIiIiIiI+IFfikTW2l+AAyc4pT/woe/cX4GKxpga/ni2iIiIiIiIiIicvuLqSRQLbMnz/Tbf\nmIiIiIiIiIiIBIAQpwMoyMiRI//6Oi4ujri4OMdiERERkdMTHx9PfHy802GIiIiISCGMv7Y7NcbU\nA6ZZa9sUcGwcMNda+5nv+9XA+dbaXQWcqy1YRURESrGibL8qxUv5l4iISOlXlBzMn8vNjO9PQaYC\nQ31BdQUOFlQgEhERERERERERZ/hluZkxZiIQB1QxxmwGRgBhgLXWvmOtnWmMucQYsw5IA27yx3NF\nRERERORYixYt4vfff6dWrVr07duXsLAwp0MSEZESwG/LzfxF051FRERKNy03CzzKvwKT2+0mMzOT\n6dOns3jxUpo2bcygQYOoWLHica9JT0/n0kuvYMGCRVjbkJCQ/UREpDJnzmxatWpVjNGLiEigKUoO\npiKRiIiIFCsViQKP8q/AsmzZMm699W7++GMhubm5BAdXIDe3OZGRbkJCthIf/z3t2rUr8Nr//OcB\n3nxzFhkZA4Bg3+gSatdeSnLyOoKCimtzYxERCTQqEomIiEjAUZEo8Cj/Chxbt26lRYu2HD58DtAO\nyAV+BRYBdwCradhwFevWJWLMsX+NKlaswqFD1wFV8oxaypf/HzNnTqR79+7F8BYiIhKIirtxtYiI\niIiInIYxY14nM7MZ0Alv+9BwoAcQAywDWrNr1z5WrVpV4PWpqSlAhXyjBmMqsn///jMXuIiIlAoq\nEomIiIiIBIiFC/8gK6tuAUcaADuBIIKCwklPTy/w+k6dugGJ+UbTyMraRNeuXf0brIiIlDoqEslx\npaam8sUXX/DJJ5+we/dup8MRERERKfWaNm1EcPCeAo7sAioBWwkJyaRNmzYFXv/qqy/ics0FfgMO\nAuuIjPyMO+64nerVq5+xuEVEpHRQkUgK9NVXX1GjRizDhj3J7be/TL16jXjhhf86HZaIiIhIqXbf\nfXcRHr4I2OobsUASsBLIxeX6inHjXic0NPSYa9evX8+4ce8RGekiKupXXK7xNGu2nLFjR/Dyyy8W\n30uISJGkpKRw1+23E12hAq7wcC7t04fExPwzAUWKlxpXyzE2b95Ms2atSU+/Fu/6d4AUXK6PmT79\nM3r27OlkeCIiUsKpcXXgUf4VWCZPnsywYf/C43GRk5OFx5NGTEwMHTq0Z/jw+zj77LOPuWbt2rV0\n6tSN1NTWeDzN8eZuCQwa1Jv33htX/C8hIieUm5tLlw4dYPVqzs3KIgJYagy/R0Xxx9KlNGjQwO/P\n3LhxIz/88AMul4tLL72UChXy9y+T0k67m8kpeeqpp3n22W/Jyuqd78hv9O/vYsqULxyJS0RESgcV\niQKP8q/Ak52dzaJFiwgJCaFDhw6Fbl0/cOBgJk/ejcdzXp7RDCIi3mL58j9o3LjxmQ1YRE7KtGnT\nuGfwYG5ITSXvP4hzQkJoNWwYb4zzX3HXWsv//fvfvPf22zQNCiIzKIhkj4cPJ06kf//+fnuOBL6i\n5GAhxRWMlBw7duwiK6t8AUcqsWPHlmKPR0RERKSsCQ0NLbTR9NKlS3n44SeYP38+hw+7sbYT4OHv\njhIRBAU1Ze7cuSoSiRSD3Nxc5s+fz4EDBzjnnHOoVq3acc/99ddfqZevQATQOCeH+T/99Nf31lrW\nr18PQKNGjTDm5D9j+eqrr/j8vff4V0YGLt/YNuD6QYNYu3EjNWrUOOl7SumlnkRyjAsuOJ+oqA14\n18D/LTx8HRdfrKVmIiIiJYkx5n1jzC5jzDKnYxH/Wbp0KeeeG8esWdkcOjQUawcBycC0o84LDk6j\nYsWKjsQoUpYsWbKEBrVrM/Qf/+CxoUNpUKcOjz70EMebpVmrVi0Ou1zHjO8DYmJjAViwYAHNGzWi\na9u2dG3blmYNG5KQkHBScW3bto0nHnyQLmlp5H1aLNDMWiZNmnRS95PST8vN5BjZ2dm0a3c269YF\nk5XVFQghOHgJlSsnsXLlEu2MISIip0XLzYqXMaY7kAp8aK0tcEss5V8lzyWX9GfWrGys7ZJnNAsY\nA9wEVAU2EhX1Dbt2bcNVwC+jIuIfGRkZ1I+N5bz9+2nlG0sFJkVG8uI77zB48OBjrtm/fz8N69bl\nsrQ0GvnGUoCJkZF88MUXtG7dmjbNm3NRairNfcdXAd9HRbE0MZE6deoUGte4t97igfvvJzgzk8ut\npV6+43OB8x57jKeffvpUXltKoKLkYJpJVALt27ePJ54YScuWHWjYsDmXXnoZM2bMwOPx+OX+oaGh\nJCTEc/vt51OlymQqVPiYa66px6JFC1UgEhERKWGstb8AB5yOQ/xr/vz5WNss32gYUI/g4JlERk4m\nMnIK33zzlQpEImfYtGnTiM7O/qtABBAFnJeWxpiXXirwmujoaKZMn863lSrxcYUKfFmhAu9ERHD/\no4/St29f3hk3jubZ2bQAjO9PC6B5Vhbj3nyz0JhWr17NQ//5DzdlZNDSWvLvmZYLrI+KIi4u7hTe\nWEoz9SQqYXbt2kX79mezd29VsrNbAals3Pgzs2bNo3PntsyZM4uIiIjTfk7FihUZPfoVRo9+5fSD\nFhERERG/qlQpmkOHUoCjl5K5XJlcc835nH/++Vx++eXavUikGGzfvp1KWVnHjFcBftmx47jXxcXF\nsW3XLubOnYvb7aZHjx5UqVIFgFXLllEjM/OYa2pmZbFq+fJCY/powgTaZGcTDXQB3sNbRm4LZAAL\ny5Wjabt2XHDBBUV5RSlDVCQqYZ555nn27o0hO7tPntGm5OS8zp9/bueVV0bx6KOPOBafiIiIlEwj\nR4786+u4uDh9uhzg7rrrNkaOHIfbfTXeX/0AVpGevoV+/fpx5ZVXOhmeSJnSuXNnXggJwZOZedRS\nnXXGcHYhDejDwsLo3Tv/rtLQqn17Zs2eTdt8haLt4eH07tCh0JgOpaQQkZMDQAXgZmAeMB4wYWEM\nf+ghhj/wwCk1wpaSIz4+nvj4+JO6Rj2JSpg6dRqxdetFQK18R6YBITRokMKGDasciExERKRo1JOo\n+Blj6gHT1JOo9MjNzWXw4KF8/vlXQBPgMLAf6IHLlUB8/Hd07tzZ2SBFyghrLReefz77fv+dHhkZ\nlAdWAD+5XPyUkEDbtm1P+p47duyg1Vln0ePwYVrjXW62DPi5fHmWr15NTEzMCa+fNm0a9wwezNDU\n1KMKV1+XK8d1I0cy/IEHTjomKfnUk6gUiogoBxw77dDbqDCcjIyMYo5IROTMWLJkCZ999hlLlixx\nOhSR0uBISwspJYKDg7nssktwuWoDDYFuwL1AZ9LTu/Dccy87G6BIGWKMYdqsWfS67TY+KV+el4KD\nSenale/mzDmlAhF4dz/7Pj6ezS1bMjo8nFfDw0lu0YLZc+cWWiACuOSSS6jfpg1flivHRmALMD0s\nDHf16tx6221s2rSJhQsXcujQoVOKT0ovLTcrYW65ZSgjR35ARkYdINg3uhtYS0hIK6644jIHoxMR\nOX0HDx6kf9++JC5bRp3gYLbm5nJW69ZM/fZbKleu7HR4IiWOMWYiEAdUMcZsBkZYaz9wNirxhzVr\n1uB21waOXnpibW0SE391JiiRMsrlcvHK6NG8Mnq03+7ZoUMHFq1YwQ5fX6NatfKvJjm+4OBgvv3x\nR15/7TU+ev99srKyuPzqqxl6441c3q8ffy5aRJXwcHZnZvLv++/nyWee0dIzAbTcrMTJzMzkoov6\nsXDhcrKzW+CdWryS4OBaVKuWw+LFv1GzZk2nwxQROWUD+/dny6xZ9M7KIgjwALPDwqh10UVMnj7d\n6fDED7TcLPAo/yqZJk6cyG23PUNq6jVHjRuzkAEDKjB58mcORSYigchaS9cOHYhYsYIeOTmEAIeA\nL10uHnjpJe68806nQ5QzTMvNSqHw8HDi42czbdqHDBhQmcaNU2nVqgWPPDKUFSsWq0AkIiXa/v37\nmfndd/T0FYjA+w9Vz6wsZv/wA3v37nUyPBGRgHLFFVcQFZVKUFACkANYYAPlyi3kkUeGOxydSMmS\nkpLC119/zbRp03C73U6HU2RpaWk8+vDD1I+JIaZqVf55001s3bq1wHMXL17MprVr6ZGTwwZgAbAT\n6OV288rzzxdn2BLAtNysBAoKCqJ3794FdsE/VRs2bGDMmNf588/ltGp1FvfddzdnnXWW3+4vIlIU\n+/fvJyokhIh8O3mEA+VDQ9m3bx9Vq1Z1JjgRkQATERFBQsJPDBp0A0uWjCY4OJxKlaJ4++2P6NSp\nk9PhiTB58mTGvj2WnTt30O3sc3h4+MM0bdrU6bCOMe6dcQx/cDj1utUlJyOHnTftYsL7E+jfv7/T\noZ1Qbm4uF55/PukrV9InI4MwYMnHH9NlxgyWrFxJtWrVjjp/48aNVDWGd/AWAurgbbCdBRzwLWkr\nKdLT09m2bRs1a9YkKirK6XBKFS03ExYsWMDFF19CZmYbsrNjCAnZQVjYEqZO/YpevXo5HZ6IlCHZ\n2dnEVKvGwJQUauQZ3w18VqEC2/fsISws7HiXSwmh5WaBR/lXybdz507cbjf169cnKEiLBcR5Tz7z\nJG9/8jbdnuxCdONo1k1fz9LXlxL/w0+0aVPgRouOWLhwIf2u6seg+KuJbhwNwPbft/NF38ksW7SM\nevXqORzh8U2dOpX7rruO6/PtYDYzPJze//d/PPXMM0edv2bNGtq3aEFnj4cL8ozPAZaVK8eBEjCD\nyuPx8NjDD/PG669TLiiItJwcht5wA6+OHascsQiKkoOpSFTGWWtp1qwNSUnNgFZ5jqwlNjaBLVvW\nq4GZiBSrN994g6cfeICL3G5qA1uB710uHnnuOe6+916nwxM/UJEo8Cj/EhF/2r17Nw2bNuSfq4ZR\nvtbfszx+f+0PzI/BzJwy08HojjZ02PXsbLGTrv85+6jxH+6dw8VVejPyiZHOBFYE9997L8vGjuW8\nfOPrgPUdOpCwaNFR47t376ZOrVoM93gIzTOeDYwKDWXT1q1Ur179DEd9ep549FEmjh7NpW43lYBU\nYGa5cpx77bW887//OR1ewFNPIinUjh072Lx5M9Ai35HGHDx4mKSkJCfCEpEy7I477+SVd9/lzyZN\neDU0lEWNG/Pft99WgUhERKSE+OWXX2hwXv2jCkQArYa0ZO73cx2KqmDbd+2gcuNKx4xXaFyebTu3\nORBR0VWtXp20AmbPHAKqFVDsOXToEBUiIo4qEAGEAlFhYaSkpJyROP0lKyuLsWPG0M9XIAKIAv6R\nns6nn37K/v37nQyv1FCRqIwLCQnBWg/eRod5WTyeXEJC1LZKRIrf4MGDWZGURHpWFivXrmXIkCFO\nhyQiIiJFVL58edx7048Zd+9NJ7JCpAMRHd95Xc5j4/SNR41Za0mevoXuXbo7FFXRDLn+ehKDg9mZ\nZywV+C0yktsL+HCtQYMGhLlcbMk3vhUIKVeOhg0bnsFoT09ubi6ffvopnqwsovMdcwFVwsJITk52\nIrRSR0WiMq569eq0bNkKYxbnO7KcOnViA/o/FCIiIiIiEnji4uJI3ZLK2hnr/hqzHsv8EQkMHTL0\nlO87Y8YMevbpSYNmDRhw9QB+//330471jn/dwZbvtvHzyF9I3ZnKweQUvr/7R+x2yzXXXHPa9z+T\n6taty3sTJvBJuXJ8FRXFtMhIxkVEcOt999GnT59jzg8ODuaVsWOZ4nKxBNgLLAG+drl4ZcwYgoOD\ni/sVimTPnj20bd6ckXfdRWZ2NgfyHXcD+7KyArp/VEminkRCYmIi3bv3JCOjNunptShXbhchIRuI\nj/+eDh06OB2eiIiUMupJFHiUf4mIvyUkJPCPAf+gdvfaVGgSRfLMzdStWo/vpn13SrtRvfHWGzz1\n3yc555lzqNmuOpvmJLPgqV/56tPT32xn06ZNPPTEQ8yYOoOQ0BAGDhzIc089V2J2VE1JSWH69Olk\nZmZy8cUXU7t27ROeP2fOHJ4fOZKkpCSaNm3KQyNGBPSGRVcPGMD2GTO4MCeHeGAjcBVQAUgDvi1X\nji5XX81748c7GGXJoMbVUmQHDhzggw/Gs2TJclq1as5NN914zJaJImXZ4sWLGf3GaJLWJ9GuVTv+\nffe/A3IL17IkISGBV154gfVr19KuY0eGP/wwLVu2dDosKQIViQKP8i8RORMOHz7MF198wc6dO+nS\npQsXXHDBKW2K43a7iakbw3UJ11KlaZW/xldPWcPqZ5NY9vsyf4YtASQjI4PKFSpwb3Y25QAPMBf4\nHW8vJU94ONcPGcLoN94gPDzc0VhLAhWJRET8YMqUKdx02010+k8HanaswZaft7HkzaXM/GYm55xz\njtPhlUkTP/mEu2+9la7p6dS0luSgIP6IiGDarFmcd17+PT4k0KhIFHiUf4lIIEtISGDIvdcx5PfB\nR417cj28XOFVdu/YTYUKFRyKTs6klJQUalarxgPZ2Uf1yskCJkRGMuGbbwJ6FlSgUZFIROQ05eTk\nUKdhHfpMupg65/w9dXfl54lsGLWJxQvz9/OSMy0rK4vY6tW5IiWFmDzjK4Gk5s1ZkpjoVGhSRCoS\nBR7lXyISyFauXEnPfj25bcMtmKC///lw73PzZr1xHNh3ULNISrG2zZrRfM0amucZ2w18Wr4823fv\nJiIiwqnQSpyi5GBqXF2KeTwelPCJnJ4VK1YQFBl0VIEIoPmVzUhalcTevXsdiqzsWrZsGeU8nqMK\nRADNgaT167X9qYiISCnTokULalSpweJ3l/w1Zq1l/sgELr/qioApEK1atYqvvvqKxYv1IaI/jX7r\nLb5zuVhgDDuBxcDnLhcvvvyyCkRngIpEpdBPP/1E+/ZdCAkJpXz5ytxzz/2kpx+7BaWIFC4iIoIs\ndxbWc3TBNTczF+uxhIaGOhRZ2eVyuUjPzcWTbzwbb8IYKImiiMjpyMnJYe/eveTm5vrtnvHx8QwY\nMJBOnbrz4IMPs2PHDr/dW+RMMsbwxSdfsPj5pXze60t+/M9cPuzwMem/ZjL2lbFOh0dqaiqXXHQR\n53bsyNM330zv887jnM6di/xhYlZWFr/99hsrVqw47Q/5V6xYwfXXXkuLhg3p07Mns2fPPq37BYKe\nPXvy47x5VOzfnzn16pHRsycTp0zhn7fe6nRopZKWm5UyCxcupFevPrjdF+H9XP0QERFz6datFnPm\nzHI6PJESx1pLy/YtOev/mtB6SKu/xhNeWEjQL0HMnv69g9GVTdZaWjVtStN162iXZzw+OJioCy9k\n2iz9ty7QablZ4FH+FThyc3MZMeIpxowZS3Z2DhERETz44HAeemj4KTX8PWLUqFd5/PHncbvPBioT\nFraeyMj1/PHHAho2bOi/FxA5gzIzM5k6dSrJycm0adOGCy+8kKAg5+c93Dx0KEs+/5x+mZmE4G2u\nPCc0lMju3Zk1Z84Jr/3k44+57667iLSW9NxcomvUYNLkybRt27bIz//888+9u5Vt2EBuVhbdgUbW\nshuY73Ix4sUXufOuu07nFaWUUE+iMqhXr77MmRMKdMwzmovL9RY//zyLjh07Hu9SETmOxYsXc/El\nF1M7LpaqHauw46edHFyRwrw582jQoIHT4ZVJy5cv58Lzz6dmVhZV0tLYHhVFduXK/LxgAbGxsU6H\nJ4VQkSjwKP8KHPffP5y3356C290XqALsxuWawcMP38pjjz1ySvfct28ftWvXJyPjFqDSX+NBQfPo\n378Kkyd/5pfYRcoit9tN9eho7sjMJDLPeDbwWkQEievWHTc3SUhI4NKLLmKg200twALLgF8qVWL9\n5s2UL1++0Oe/NmYMzz3yCBe43cwDOgF5y0v7gAkuF9t37yYyMrLgm0iZoZ5EZdCiRX8AjfONBgMN\nWbRokQMRiZR87du3Z+2qtQzrfgstd7Tm/sv/w5oVa1QgclDr1q1Zv3kz94wZQ7eHH2bku++SuHat\nCkQiUqIdPnyYt94ah9vdH2+BCKA6bvelvPTSy2RlZZ3SfefOnUtoaAPyFogAPJ52zJr17WnFLFLW\npaSkEGIM+csvoUClsDB27dp13GtHvfgiXdPTqeX73uAt8NTKymLSpEmFPjszM5MRjz/OlW43DYFt\nQKt851QBqoeE8PvvvxfxjaSsC3E6APGvmjVjSEnZA1Q8ajw4eJ9+eRI5DZUqVeKuOzVNN5BERUUx\nbNgwp8MQEfGbjRs3EhZWiYyM/LMHqpKbG8TOnTupW7fuSd83PDwcYwoqMGUTGhp2SrGKlEUZGRms\nW7eOqlWrUrNmTQCqV69OZFQU2zIyyPvb1kHgYE4OZ5111nHvt37tWjoUMIuzitvNxg0bCo0nKSkJ\nF1ANyMU7NSADjipYWcDt8RAVFVXo/URAM4lKrD179nDDDcOIjKxIREQk/fsPZOPGjTzwwL24XD8B\nqb4zLcb8icuVSe/evZ0MWUREREROIDY2lqysg3h/zcvrENZmUbVq1VO674UXXoi1u4EteUYtYWEL\nGTz42lOMVqT4paWlkZycTHZ2drE/e9SYUdSqU4veA3vTpEUTLhlwCXv37iU4OJinnn+eb1wu1uFd\nZpYMfBUZyfAHHjjhEq/2nTqRHBx8zPj2qCjaFKEnUZUqVTiUnU023gJRS+AnvIWhI1YA5SpXpmPH\njqxZs4bBAwdSq2pVmjdsyKiXXyYnJ+dkfgxSBqgnUQmUkZFBixZt2bq1CtnZXYEQgoIWUanSShIT\nlzJq1BjGjn2NsLA6eDwpVK0axbfffkOzZs2cDl1EREQ9iQKQ8q/Ace211/PNNyvIyOgLhAPplCs3\nnRtvvIA33zz1XZxmzpzJwIGDyc1tRmZmBaKiNhEbG8GCBT9RuXJlv8Uvciakp6dzz3/u4dOJnxJR\nPgKyLQ8/9Aj333v/aTV0L6qPPv6IB599kAFTLqPqWVXIdmfz82Pz8CyChPgEjDF89tlnPP3YYyRt\n3EjdmBiGP/oot9566wnjS0xM5JzOnbnI7aY53gLTwuBgNsfEkLh2bZF2bL04Lo7M+fPpmZNDOvAR\n3sbZTYCDUVHsCglh9ty5REZG0rVjR9qnpdHC4yEVb1Pr9n36MOmrr/zyc5LAp8bVpdSECRO4884X\nSUu7Gu/KVa+wsKmcd14VjAmjatXKdO3aiW7dutG5c+di+Y+niIhIUahIFHiUfwUOt9vN0KHDmDFj\nOuHhNcjI2Mk111zDu+++RVjY6S0N2759OxMmfMi2bTvo0eNcLr/8ckJDQ/0UuciZc82Qq1mVuYqL\n3uhFZPVI9iTuYdo1M3j4jke48/Y7z/jzW3ZoSfuX2tLwwr/7UVqP5d2m/2P6pOl06tTplO89f/58\n7vnXv0hcswaAiy+8kDfffbfIrUJ27dpFn1692J2cTAyw2eMhOjaWy6+6irPOOourrrqKyMhIrh80\niB2ff855Hs9f12YDb7lczF2wgDZt2pzyO0jJoSJRKXXTTf9k/PhtQJc8o4eAdwkKqoPH04KgoINE\nRPzJyy8/y+23/8uhSEVERI6lIlHgUf4VeHbs2MGmTZto3Lgx1apVK/J12dnZHDhwgOjoaEJC1H5U\nSr7NmzfTqn0r7th8G2GRfxdKt/++nVlXz2bLhq1n/ANxV3kXd229nYiKEUeNT79mJsMHPMCgQYNO\n+xkpKSmEhobicrlO+lprLfPmzePbb7+lWrVq3HDDDVSpUuWoc+rUqMGA3bvJv2h1VkQEg196ibvv\nvrvAe7vdbv7880+ioqJo27atJh+UcNrdrJSqV682YWEp+UZ/Alrh8Vzt+9/uuN1DuP/+4Rw4cMCB\nKEVERETkVNWqVYtu3boVuUCUm5vLQw89SuXK1ahXrwlVq9bihRf+i4p/UtIlJSUR2zbmqAIRQEzn\nGHZv30NGRv4eXv7XpHkTtiZsO2rMk+thy8KtNG/e3C/PqFix4ikViAAWLVrEdVdfzadvvMH7Tz5J\n/dq1efbpp486p3KlShwq4NrU0NBjCkpHvPP228RUr84N/frRp3t3mjVqxLJly04pRik5VCQqgW6+\n+SZCQlYAW/OMruLomUUA0YSGNmD27Nn/z959R0V1tAEc/u1SdlmaShEEG9jFRGMJ9t5jFFvU2GuM\nLSZqErtJPo0ajb3EWGLsXbFgRyyxYC8x9gJSLZRtLLv3+2OVgGhEBRZ0nnNyjszee+e9nLA7+96Z\nd7IvOEEQ3nvR0dH8MnUqg778kuXLl6PVai0dkiAIwjtvyJBvmD17A2p1N3S6r4mLa8+PP85h0qTJ\nlg5NEN6Kr68vEZciSdalLbAceT6KvG55USqVLznz1RITE7l+/ToajeY/jxszYgz7Bhwg4nQEANrH\nWvb034dfKT/Kly//xv1nBrVaTdMGDagWFUWPhATax8fTV6dj7uTJbN68OeW4LwYP5qhKRep9Dm8B\n4UDLli3TXXffvn2M+vprOqvVdI2P5wu1mjK3b9OwTp1X/r6E3E0kiXKhQoUKsWbNChwcNuDktBon\np3WYV5SaXnC0CasXVMwXBEHICiEhIZT08WHd2LFcmz+fyQMG4FeyJBEREZYO7T9duXKFLVu28Pff\nf1s6FEEQhAwxGAw8evQISZJ4/PgxixYtQqP5FMj39Ah3NJoW/PzzVIvsBCUImaVo0aLUrFmTPf33\noo/XAxB3L449ffYx7OthaZY/SZLEqVOnWLVqFWfPnn3pNQ0GA4O/GYxnQU9qNqmJh7cHw78fjtFo\nfOHxbdu2ZeLoiQS22sk87wXML7IQH50vW9ZtydybfQObNm3Cw2ikTKo2J6C6Ws2Myf8mib/o35+a\nAQHMs7Njp50d6xwdCXR0ZHNg4At3YJs2aRLVNBqezWWUAeUBd4OBDRs2ZOEdCZYmFirnUi1atCA6\n+qnvjlgAACAASURBVAEHDx7EYDCwefM2Vq06icHQJNVR0SQn36NRo0YWi1MQhPeH0WikQ5s2NFer\nKf6sMTGR/TodQwcOzJE7Z8TFxdG6RQvOnz6Nl7U19w0GKvv7s37LFpycnCwdniAIOZjpafFXuTx7\nn7nqdDq+/noEy5Ytw2g0kjdvPry8PElKUgAOzx3tRnKyRExMDAUKFHjh9R4/fszq1au5ffsOlStX\nolWrVm9dIFsQMtuqZavo3b8X8wovxLmAM/ER8QwZMoRhQ4elHBMbG8snrT/hdvhtvCoXIGxkGKWL\nl2Hr+q3kyZMnzfWGjhjK/r/30efvnjh4OBAfnsCWzluQj5Uz+X8vnn3Xu2dvunftTnh4OHnz5s0x\n44Tw8HDyvGDJnStw7sGDlJ/lcjlLV6xgxN9/c+iQeVfDFi1avHSJ293bt6n5gva8ajV3797NpOiF\nnEgUrn5HxMbGUrlydWJibFCri2JtHY+NzXl++20unTt/bunwBEF4Dxw9epROTZvSMyEhTbsGmGFt\njUany3EzG9t8+ilhu3fTOCkJK8AI7FIoKN6iBavWr7d0eO8sUbg65xHjr4y7d+8eAwZ8RVDQDiTJ\nRL16jZk791eKFy/+6pMzQatW7di9+x90uoaAI3AKc21KI/AVkHrpTRwq1e88fBj9wiU5J06coGHD\nZhiNhdFo8uLgEIabGxw/fhh3d/fsuB1BeC0xMTFERkbi4+OTbvZL84DmPC7yiPrT6iKTyzAZTez5\nch9FNT6s/XNtynHx8fEUKFSAftd6Y+/+7zXi7sezrPxyIsMisbOzy7Z7elsHDhygW8uW9ExMTLNM\n6KhcjnvbtqxYu/al5/6Xz9u3J2bjRqqn2g1NAv50dOTXFSv49NNP3y5wwSLE7mbvieTkZIKDg4mK\niiIqKooTJ87i7e1Bnz69KFWqlKXDEwThPXHgwAH6BQTQOT5tWUQD8LNcjk6vz1E77Tx8+JDCXl4M\n1utRpGrXAnMUCsIiI9M9eRQyh0gS5Txi/JUx8fHxlChRltjY4hiNHwMyZLJQ8uQ5z9WrF7M8sXLj\nxg3KlPkAg6EU5gUBZYCrgAp4hDlR1AJQABrk8vUMHBjAzJnT0l3LZDLh7V2UiIiqwLPCuxLW1vtp\n2dKbDRtWZ+m9CEJmioqKoljpYgwM64+NyialXfdEx7zCCwi/9wBnZ2cALl++TON2jel5pVu66ywo\nsogTB09QtGjRdK/lVJIkUa1yZQyXLlFTr8ceuAActrfnyIkTlC1b9o2ue/HiRWr6+9NAo6EMoAeO\n2tjwpEgRzl25kqPGdELGid3N3gMnT57E07Mgbdr048svpzBy5FhUKlu6detCiRIlLB2eIAjvkapV\nqxJrMhH1XPtZoG716jluMBETE4OTrW2aBBGAHaCytubhw4eWCEsQhBxs+fLlJCS4YDTWxjxjR4Ek\nVUerLcKCBQuztG+j0UinTt0wGOwAd8AZ2Abce3pEc8xD+1+B34AZ5M8v8csvP7/weqGhoSQmGoHU\nDxRlJCdXY9u2zWlqsxiNRm7fvi3eF4UcKzY2Fid3pzQJIgBlHiVKJ7s0uz0XLFiQuIg41DHqNMfG\nh8WjT9Dj4eGRLTFnFplMxp6DB/Hv0YMlKhU/y+UkVqvG3uDgN04QAZQrV47tu3dzp1w5JltbM8vG\nBu8WLTh49GiOG9MJmUskiXIxjUZDo0bNiI2tQ3x8V+LjP0Kvt2XZsvVUqVIPb28fgoODLR2mILxX\n9Ho9q1evZtToUSxZsgS1Wv3qk94RdnZ2zJgzh7UqFX/JZNwA9tnYcNzRkelz51o6vHSKFCmCVpKI\nfa49GjBZWVGwYEFLhCUIQg52+PBxNJpC6dp1usKEhBzP0r43btzIpUthwJdAVaAG0A/zot5TT49q\nDQwEmqBSFWDSpPHY2Ni88HoajQaZzA5zOdrUbDEak4mNNb87rl69Bk/PQvj5VcbLqzANGjQjMjIy\n0+9PEN5GsWLF0D7SEns17ad6xJlIrLHG29s7pc3JyYkuXbuws9tuEqMSAUh4kMDObrvp169frlpq\n9oyjoyNz5s8nTq3GkJzMgaNHqVSp0ltft0aNGoReuMCjJ0+IS0xkzcaNuLm5vfpEIVfLlCSRTCZr\nIpPJrspksmsymezbF7xeWyaTPZHJZGee/jc6M/p9323evBmTyRPzE6AnwDqgKfA1ev1AIiKq88kn\nrbhz544lwxSE98b9+/cpVa4UPyyZwFHbw/y6dTo+JX24cuWKpUPLNt26dWPXwYO4tmvH7YoVqfLl\nl5y9dIly5cpZOrR0lEolo8aMYbNKxV3MizTuAJtVKsZOmCAKtwqCkI6PT2FsbR+la7eyisXXt3CW\n9r1s2Sq02gqk3XdGCVQEjNja/g6cBK5hbx9M5crF6dSp00uvV6VKFYzGGMyp8dQuAHYULuxLo0ZN\n6d17ADExTdBoBqHXD+HQITW1azdMKdwtCDmBQqFg7JixbG61jVt7b6OL03F95w22tg3kpwk/pZv5\nMmPqDOqVqMeiUkv4vcQSFvsto0WlFkz8YeIb9X/9+nWGf/MNnwUEMOPXX4mLi8uM23ojGo2Gu3fv\nkpSU9OqDM8je3l6Mi94jb12TSCaTyYFrQH3gAeZHGR0kSbqa6pjawDeSJL2yupVYE59x06ZNY+TI\nTSQlNQL2Y6780STNMba2exkypAZTprx4qrEgCJmnyadN0FfSUXNs9ZS2s4vOce+3MM6fOm/ByISX\nkSSJJYsXM+mHH7gTHo5PwYKMHDeO7j16WDq0d5qoSZTziPFXxty5c4eyZcuj0bQGniWFHqBSrePE\nicP4+fllWd+NG7dgzx4b4MPnXjlCuXKPmDhxAn/8sZqkpCQ6dmxD27ZtX7kkZPHixQwe/C0azceY\nl7DdAM4AnYE8yGS/IUl1n+tTwtFxGRs3LqJhw4aZd4OCkAF3797lr7/+Il++fNSrVy/d/+MrVq5g\n0rRJ3L5+m+KlizNmxBjatm370uslJCQQHh6Ot7c3Dg7P7w6YMVu3bqVbp058aDCQz2DgrkpFtIMD\nx06dolCh9DMPs4per2fo4MH8uXw5Crkck5UVw7/9lu9GjkQmy9yP3ISEBGbNnMn6lSuxksvp2L07\nAwYOzBGzsCRJQqPRoFQqc9yGKTlBthSulslk/sA4SZKaPv35O0CSJGlyqmNqA8MkSWqRgeuJQUoG\nHTlyhCZN2qNW9wY2A8VJP3C4wCefQGBgztt6WhDeJXFxcXh6ezIkamCa9fAmo4n5hRZyPPhEtu18\nIwg5nUgS5Txi/JVxu3btolOnbphMDoAcSXrE4sULadeuXZb2++eff9K//w+o1R2BZ198DKhUS9i6\ndTkNGjR4o+sePnyYn3+ezq5de5Ck4kAtwOXpq78C3YB8ac5RKnczZUpHBg0a9EZ9CsLrMplMDPxq\nICtWrsC3ng9x9+LRR+nZsWUH5cuXt1hcOp2OAu7utElIwDtV+yG5nHyffMKGrVuzLZZun3/O6U2b\nqK3T4QI8BrapVAwaP55hw4dnWj9arZZqlSoh3bpFeZ0OCThtZ4eznx/BR4++dIlrdtiyZQvfDR3K\n7bAwbG1s6N6tG1OmT88RyaucIiNjsMyoOOUF3E/1cxhQ5QXHVZXJZOeAcGC4JEnvz/qLLFK9enUq\nVChFaOhWdDoH4C7PJ4mUyjAqV/7EIvEJgiU9fvyYNWvWEBkVif/H/jRu3Bi5POvKsOn1eqxsrLBW\npn1blVvJUTrZodFosqxvQRAEIfs0bdqU6Ohwjh07htFopHr16igUz5fAz3wdOnRg8eLlhIauQq0u\nBxixtz9Hs2Z1qF+//htft2bNmhQtWpSSJT9Eowl47lVXzEP3tEkiG5tIsUGKkK3mL5xP0KldfHGr\nD0pnJQCX112haYsm3L15z2JLoY4cOYKLTJYmQQRQxWTi1507kSQp02fxvEhkZCTr167FymhkMeY0\nchWgqUbDlIkTGfr115k2q2b58uXo79yhvU6XUtGsiFbLyr//ZvPmzbRv3z5T+nldQUFB9OrUiWZa\nLR2A+ORkDixbRvvbtwkMCrJITLlVdpUlPw0UkiRJI5PJmgJbgJd+sowfPz7l33Xq1KFOnTpZHV+u\nJJPJ2L17O2PGjOf335cQHx8PeAIVnh5xDoXiFv369bVglIKQ/YKDgwloF0CRBoVxLObAslHL8Jjo\nwb6d+3B0dMySPt3c3ChYuCD/bLtGqVYlU9rDT4STnJD8VrtLWNLx48f5aexYzp07R6GCBflm5Eja\ntGlj6bCyzfXr14mNjaVcuXJvPA1dMP9Nio0UhHeJjY0NtWvXzvY+9+7dyfr161mxYh02Ngq6d59J\ny5Yt3/pLqJubG3K5CXhE2oRQBWAn5plFBQADVlbHcHdXiqVmQraat2geNaZVS0kQAZRtX4ZL8y4T\nFBTEp5++sqpJlpAkKV3pd0v4ccIE7I1G2gH5gYeY9z5MAtQaDfHx8eTNmzdT+tqxaROlNZo09y0H\nSiYmsmPLFoslicZ9/z0NtFqKPf3ZGWih0zE3JIQrV65QpkwZi8SVG2XWcrPxkiQ1efpzuuVmLzjn\nNlBRkqR0lf/EdOc3d+nSJXr0+ILz588A8OGHFViyZEGOLBgrCFlFr9fjXcSbxn82xKdBUQAkk8T2\nbjup5V6bmdNmZlnfBw8epPVnran49UcUrOVNRGgkJyedYsGsBbRvZ5kPzLexf/9+2rRoQQ2tFh8g\nCghRqfgmk6ct50T37t2jfatWXLt6lTw2NsQaDIweM4YR339v6dDeCWK5Wc4jxl/vHr1ej06nw8nJ\nKUNJpDFjxjN9+p9oNC2AvEA8KtVOKlcuwIULlzAYZBgMaipXrsKaNcvx8vLK8nsQhGfcvdzp+Fd7\nnAs5p2kP6rmbPlX70adPH4vEpdPp8HRzo31iIgVStYfI5Tg3bcqm7duzPAaDwUB+Fxc6JSSQet+x\nRGA2YOfgQOyTJ5k2k6jzZ5/xaN06Pn6uPUQup0y/fsyeNy9T+nld9kolg/R6nl9Yts3RkWELF9Kx\nY0eLxJXTZGQMlhlrL04BxWQyWWGZTGYLdMCcuEwdSP5U/66COTmVfmsI4a34+fmxatVS5syZwfr1\nqzl+POSNE0QRERGMHTue5s0D+O67kdy7dy+ToxWErHHgwAHy+DqnJIgAZHIZ1cZWZeWqlVnad926\ndQnZH0KB616c++YCjiec2Ll5Z65MEAF8PXAgTbRaKmN+hlwG+Eyj4Ydx40hMTLRwdFnHZDLRqE4d\nHC9cYKBWS7f4eHpqtcz86SdWr15t6fAEQRD+05MnT+jQoQtOTnlxc/OgeHE/gjKw1GLChLEMHdoZ\ne/tl2NvPwc5uET17NmHv3iCio8M5dSqYO3euc/jwfpEgErKdf1V/rm27nqYtWZ/Mzd23qFq1qoWi\nMu+U+tuSJaxVqThoZcUFYJO1NRccHZk2e3a2xBATE4OUnMzzG9M7APZAh06dMrWAc4++fTljb0/q\nQgrxwHmlkm49e2ZaP6/LK3/+dHs1SkCUJGVrAfF3wVvPJAKQyWRNgJmYk06LJUn6WSaT9cM8o+g3\nmUw2AOiPefstLTBUkqQTL7mWeJL1BgwGA59/3p3t23dgbe0LPMLZWcbevTspVarUa13r7Nmz1K7d\ngKSkEuj1BbC1jcLG5jJBQYHUqFEja25AEDLJhg0bmLB8AgHb0k471sRqmF90IeoEURsoI9RqNXmd\nnfneaEz3NGGFszOLt22jVq1aFoktq+3fv5+eAQH0SEhIM5X6GnCldGnOXhEl9d6WmEmU84jx17tB\nkiQqVvTn8mVISqoN2AE3sLPbyd6926levfqrLoFOpyMyMhJ3d3dUKlWWxywIGXHmzBnqNa5Hjf9V\no1SbksTfT+Dw90co41yGjWs2WTo8vhz0JX8sWYKThx0qn7wk3EykSd0mLFu0LEtrYoL5b9Y9Xz56\na7WknmelA2ZYWXE7LAwPD49M7fO74cNZOHcupZOTkWQyrsjlfDd6NN+PGpWp/byOBfPnM2nYMNpp\nNDgCJuCYlRWRvr5cuHo1W2pD5QbZsrtZZhODlDczYcKPTJ68Cq22NWAu3CaTncbb+wp37lx7rTen\nDz6ozMWL3kDqnQKuUqhQKHfuXBN/YEKOFhMTQ9HiRelzpSeOBf6tP3R8+kns/lKxdX327TKRmxkM\nBpwdHRmg15O6Eo8JWGBvz95jx/jggw8sFV6WWrx4MQsHD6b5c8XGE4ClTk48jIuzTGDvEJEkynnE\n+OvdcOjQIZo1++zpkjF3no0J4TT16hnYv3+XBaMThLdz6tQpRk0YybHDf5HHJQ99evZh5LcjLbqb\nFsDp06dp1LIR3c90wd7dHgCDxsDK6muYMWYGrVu3zvIYhg4axJ7Fi2mh1WKHuRZRkEJB8ebNWbMx\na3a5vnr1Klu3bsXKyoqAgAB8fX2zpJ+MkiSJUd99x+xZsyigUPDQYMCneHE2BgZSsGBBi8aWk4gk\n0XvEzc2L2NhPgdRZYglHx6Vs3/4n/v7+TJkylfnzF6NWJ1C/fn0mTfoh3c4UUVFRFC5cDL1+KP9u\nr2q+lr39XE6fPkLJkiURhJzsfz//jzlLZvPxmCrkK5aXm9tvcWnxFQ4fOCyK1r2GHl26cHndOpom\nJaXMJgqVybhTvPg7/UTm5MmTfFqvHv3U6jSzqC4C0R9/TMjx45YK7Z0hkkQ5jxh/5X5RUVFUq1aH\nW7fuAHmAOKD60/8e4+q6gZiYcEuGKAjvpG9GfMNpu1PUmlAzTfu5peeR77Jiy7qsf0AZHx9PtYoV\n+efGDfICT4Byfn4EHzuWZZu25FSPHz/m/Pnz5M+fn9KlS1s6nBwnu2oSCTlAXNxDzEUGU5MBeYmK\niqJFi9ZMnLiKBw8aEBfXmS1bHlK5cjVu3ryZ9oz/+NInSf/9uiDkFKO+G8Wi6b+jXa8ndMhZysT7\nEfpX6GsliGJiYhg5ZiQVqlagTuM6rFy5kpzyBUqSJH5ftIgyxYrhbG9PzY8/5sCBA5nez4w5c7Dy\n8+N3Bwd2KxSsdHTknLs7GwMD3+n3gsqVK1OiXDl22tqixrye/SZwQKVi7E8/WTg6QRCE9CRJolGj\n5ty96woMA74A+gIXgLNAJIUKFebMmTNMnTqVhQsXEhsba8mQBeGdodPrsLZPv2m4rYMtWp02XfuT\nJ09YsGABI7//nk2bNmEwGN46hr49eiAPD6cP0ALoCETeusWqlVlbjzMnyps3L3Xq1BEJorcgZhK9\nI6pUqcmpU+5A6uUfOpTKuaxevZzOnfuhVvcj9ewgK6tgOnQoTN26Ndm2LQgXl7z07duTvn0HcfGi\nF+ZtT5/5m8KFz3D79j/v9JdDQQDz09hKVStRoJEnpTqVRBOj4eSkUBpWbsjv83+3dHiMGTmSP2bO\npK5GQ37MCYyDKhUrN2ygadOmmdqXJEmEhIRw/vx5ChUqRPPmzS0+rTs7xMfHM2TAANatX48kSXh5\neDBlxgwCAgIsHdo7QcwkynnE+Ct3kiSJixcvEhISwrff/oRG04+0z4BvAztQqawoX744585dxWAo\ngY2NDkm6zsqVf4j3NeGdkpiYyMaNG4mIiKBKlSrUrVs3y7+77N69m17DetE19HOsFeZkkSRJbGi6\nia9aD6Vf336cO3eOJYsWcfXvvzn+11/4yuXk0WgIc3DA1sODQ3/9haur6xv1f//+fcqWKMEgnS5l\ngSnAfWCPhwd3Hzyw2Pe38PBwHjx4QMmSJXFycrJIDEJaYrnZeyQkJIQmTT5Fq60LlAAeolIF89ln\n9ShdujijRm3FYGj43FmRWFuvQKEoiFpdArlcjVJ5hl69uvLHH3+SlFQMnc5cuNrW9m92795OtWrV\nLHB3gpC9vh7+NX/pjtJwdoOUtqTEJBaVXExw0KE33jUwMzx+/JhCBQrQT6cj9eThf4CLxYtz8do1\nS4X2TtLr9eYi3nnzigR5JhJJopxHjL9yn7t379KsWSvu3AlHkmzQalVA5+eO0gNTaNOmNbt2nUGj\n6QA8S/Q/wM5uNffu3XrjL6eCkJOcOHGC5i2b4/mxJ04lHLm76x6F3QqzO3A3Dg4Or77AGzKZTLT+\nrDUXH1yk/JAPsFZYc/G3SzjEOXJo7yGWLlnC6BEj+FCnI9RkojnwbI6LBOyxscG3dWv+XLPmjfrf\nu3cvg9u1o8NzNRMl4H9yOYkaDQqF4m1u8bU9fvyYLh06EBISgoutLbFJSQwYOJCJkydneSFv4b+J\n5WbvkVq1ahEUtI3KlWNQKObi5XWACRO+ZNGi+bi6umJr+6LtquMwGq1Rq9sDFTCZaqDRdGfRot85\ncGA3333XnE8/tWLYsHr8/fcFkSAS3hs7du+gbNe0S9NsHWwp0aYEu3fvtlBUZmfPnsVLoeD51eXF\ngas3b6LT6bKs74SEBIKCgggODiY5OTnL+slJFAoF+fLlEwkiQRByFJPJRP36Tbh61R2Npj9abUsg\nCjA+d+QdSpYsy7Vrt9Fo/Pk3QQRQAJmsOBuzqKitIGSn5ORkAtoHUP+3ugRs/ZT6U+vS40JXNF5q\nRo8fnaV9y+VyNqzewLh+44hfnkjUvGi+bDaAQ3sPER8fz7fDhtFVo8HXZELFvwkiMBcHqWEwsGHT\nJkwm0xv17+PjQ0RSEs+PzKIAlzx5sLW1fdFpWap9QAAPg4MZpNPRPT6evjod6+bNY9rUqdkei/D6\nRJLoHbFw4W+0bduJ8+fPYG1tTceO7RgyZBBWVlZPK+rfwTzl+BkdMtk+JOkDSLPJsxMyWWmOHz/O\nuHFj2Lp1Pf/73494e3tn5+0IgkXZ26vQPdGna096YsDe3t4CEf3Lzc2Nx8nJPD+MSACUCkW6gUBC\nQgIzfv2VxrVr065VK4KCgt6ottL8efPwyp+foZ99Rs+WLfH28CAkJOTNbyQVg8HAzBkz+LBUKXy9\nvRnwxReEh4viqoIgCC9z5MgRoqPVmExVMQ/n8wOewBZIqaZ2D5VqH5MmjSc+Ph5I//llMCifviYI\nuVtISAgKdwUlP/13Ux6ZXEaNH6qxfPnyLO/f2tqarl27snf7XoJ3H2LggIHY2dmxfft2iltZkRcw\nAMoXnKsADEbjGyeJfH19qVqtGnsUCp6NXuOB3SoV34wYke0Puq5du8bpkydpkJSUsvzNCWis0TBt\nypQcU+NTeLn0FbaEXGfRot/5+utxT7c79SIp6TFz524jJuYhy5b9jrOzM4GBm2nZsg3ggcmkwmi8\njrW1NYmJxV9wRfGHK7zfunfqwZyf51C4diGsbM11vKIvx3At8Bptfmlj0dj8/PwoULgwJ65exd9k\nQob5ufEBpZLu3bqlmcL75MkTqlWqhPWDB5TWalEDPfbto0u/fkyZNi3DfR46dIixw4fTXavFRWsu\nwHgDaNm8Oddv336rZQqSJNGuVSv+Dg7GX6PBDji/eDGVN27k9IULeHp6vvG1BUEQ3lX3799HktxI\n+6CvDbATmI5SaY+zszNTp04jICCAvXsPsGjRWZKTC6Q63oCNzTXq16+frbELQlZISEjA3k2Vrl3l\nqkIdr7ZARGaSJCF7mhTxBmKAWCD1yOk8UL1KFayt3/yr+ZqNG+nRuTOz9+0jn60tjw0GBg0axDfD\nh79F9G/m9u3beNraYq1NW7Q7PxDz+DHJycnvRX3L3EzUJMrlJEnC07MwUVGNgIKpXtGhUMzhzp3r\neHh4AKDVatm5cydxcXHUrVuXxYuX8ssv29HrP+XfQUYcSuUirl27QsGCBRGE95HBYKBNh9acuhRK\n8Xa+6KL1XN34D/Nmz6Nzp+frPWS/27dv07huXfSPHuFuMnHLZKJKtWps3LYNlerfAdLY0aPZ+csv\nfKLXp/yFa4CFdnacOHuWkiVLZqi/Ni1aoN++ncrPtQfa2dFl0iSGDBnyxvdy7Ngx2jRqRG+1Os1T\ni902Nvh16YJ3oUJEPnhAzTp1aNOmjUWmTAuZT9QkynnE+Ct3uXLlCpUq1UCrHUDaZ76XqFDhHrt2\nbcPNzS3lwUF4eDjly1fiyRNfkpPLAmpUquM0b16FdetWWeIWBCFTxcbGUrR4UXpf6Ymj57/1h04v\nOEPyDiO7A/dYJK6IiAhK+vjQW6fDGQgFQoBagDtw28qKs3Z27AsOpmLFim/dX2RkJBERERQrVgxH\nx+eLE2SPe/fuUa5kSQY+V0j7HnCgQAFui9niFpWRMZiYSZTLqdVqHj6MxpybTk2JUunF1atXU5JE\ndnZ2tGnz7yyIESOGsWnTNu7dW5eqcPVZxo4dKxJEwnvNxsaGrRu2ceTIEfbu24tzSWc6XOiAl5eX\npUMDoGjRoly9dYvg4GDu379P+fLl+fDDD9Mdt3HNGvxTJYgA81p4o5HAwMAMJ4nu371LmRe059Fq\nCbt3L127yWQiODiYf/75h5IlS1KnTp2XFik8cOAAxbTadB9GZQwGVixdSnkbG5ySkti/ahWTJkwg\n5Phx8uTJk6G4BUEQ3hUajYaNGzcSFhZGxYoVadCgAbVr1+TgwQ3o9U7AIwAUiiimTNlE/vz505zv\n5eXFuXOhTJw4mR07duPo6MSAAcPo06ePBe5GEDKfq6srw4cNZ0G9BVSd8DEuJVy4ufMWZ2ac5cDu\nAxaLy9PTk3E//sikceP4SKfD0WQin0LBEbmcggUL4l+9Ogu//57ixV+0uuP1eXh4pHz3s5RChQrR\nrHlzAnfsoKFOhxPwANipUvG/H3+0aGxCxogkUS4QGRnJmjVrePjwIbVr16Z+/fopa0tVKhV2dioS\nEh6SduJiMklJURQqVOil13VycuL06b9YvXo127YF4erqQd++/6NKlSpZe0OCkA10Oh22trZvvIOC\nTCajZs2a1KxZM5MjyxxyuZx69er95zE21tbpSpgCmOTydNN81Wo1mzZtIioqCn9/f6pXr57yPuNf\nsybnr16lqMGQcrwE3HNwoJ+/f5rrREVF0bBOHZ6EheFlNBJuZUUeLy/2BAe/cNDi7OyMztYWu/Ys\nMAAAIABJREFUniu4nQjkkyQaJyWZY0hMZMft24wdNYpZc+f+530LgiC8S86cOUP9+k1ITs6PVpsX\nO7sF+PrmZ968GRw82AjzrraVMC9kiSY8/MELr+Pl5cXcubMQb6HCu2rsqLH4lfZj5oKZXIy4jH8V\nf+aGzKNUqVIWjeubYcOoXqMGixcuJCYqimHNm9OtW7cs3XHN0pauWMGwr75i0fLlyCQJlb09Y3/4\ngZ49e1o6NCEDxHKzHG7Lli106tQVSSqFTmeHre1VlEqJRo0aMGTIl9SoUYMxY8YxffpqNJoAzPME\nDNja7qd6dScOHLDsTkyCkN2CgoIYPno4Vy9cRalS0rVbV6ZOmppmGdb7YuqUKfwxfjxttNqUXQqe\nAIuVSi5fu5YyY/D48eM0b9yYAiYTzno9t2xtKfPRRwTu3o2dnR137tyh4gcf8HFCAhUwb6h8zMaG\nuMKFOXflSpqEU7MGDVAfOkTd5GRkmJNJwdbW2NWqxa79+9PFGBUVRfGiRemk1fKs+pAeWAxUA8qn\nOjYWWJsnD9GPH2fq70nIfmK5Wc4jxl85k8lkomBBHx48qAz4PW2VsLXdgavrQyIiiiFJ1VOdEY29\n/Uqiox+8l597giDkLDqdjri4OFxdXbGysrJ0OAIZG4OJJFEOFhcXR4ECBdFoOgLPCg0agT8wf10y\nIpPBBx98QMmSxdm2bRsKhQd6fTTVq1dj/fpV5M2b12LxC0J2Cw4OJqBDAI1+a0CJT4qT8CCBoMF7\niT0Ry6I5iwgICLB0iNlKp9PRqE4dwi5fpkRiIjorK87b2jJh4kQGf/UVYK6/VMjTk7oPH/Js8ZkR\n2KpU0mzwYCZNngzApUuXGDZ4MPsOHUJhY0P7du2Y+uuvaYpWx8bGUtTbm8F6fZo16EnALIWCm/fu\n4e7uni7OjRs30r1LF4rL5SiSk7kiSShMJvonJ6fZgjMOWOrgwOOEhMz8NQkWIJJEOY8Yf+VMx44d\no0mTDiQk9CRtkeo4YAbwLc/vl+TktIp162bRuHHjTI0lKSmJhw8f4uLiIurDCYIg5FKiJlEuFxgY\niFxelH8TRACPgSjADaiPJDlx/vxlLl/ezOHDBzAajXh7e1O4cGGLxCwIljR+0nhqTamZsv2pk7cT\nbdcFMKvIHHoP7s2d+3cYOniohaPMPkqlkgNHjrB9+3Z2BQbinC8fc7p1w8/PL+WYAwcO4GAwkLo6\nkRVQQ6dj6e+/pySJ/Pz82BgYSExMDJ6enigUinT9PXnyBDtra2z1+jTttoDKxoYnT568MEnUpk0b\n6tSpw+bNm0lISKBy5co0adiQ+ORkUlcfOiuX80nz5m/xGxEEQchdEhISkMnsSZsgAvPM8Wf7Wz7P\nmKk7B5lMJsaN+4EZM2ZiNIKVFQwePIgffhgnZgYIgiC8g0SSKAfTaDSYTM9/EduD+StcV0h5Vl+L\n5GQYN+4ndu/enq0xCkJOcuHsBbr/0SVNm9xaTtEGRXEp6cL4CePp26sv9vb2Foow+1lbW9OqVSta\ntWr1wtfj4uKwf8HsAQcgQW3eMlan0zFkwABWrVqFwsoKSS7nu1GjGDZiRErdIoAiRYpgpVQSrlaT\nusT3A0Bma4uPj89L43RxcaF3794pP//w009MGjuWKloteSSJGwoF9xwd+WPKlNe6f0EQhNzEZDIh\nk8lS3ls//vhjkpLCMC8WTp02v0TevO4kJBwnOTn1FvZ3kcvjqVGjRqbFNHLkGGbPXoNG0xXIBzxi\nxozVJCUlMXXqz5nWjyAIgpAzvFlFVyFbNGjQAJPpH8ybVj9zD3OBwuen+fpx5MjRbItNEHIir0Je\nRF+MSdcecymGApU8cfHJx/nz5y0QWc5Vs2ZNbhkMqJ9rvwjUeVq0u2eXLvy1ahVf6HQMUqvpmJDA\nrB9+YM7s2WnOsba2ZvL06WxWqbiE+SvNJWCTSsXP06ZhbZ3x5xJff/MNG3ftwjEggHB/f5qOGMH5\ny5f/sxi/IAhCbnXu3Dlq1KiPjY0tdnYOdOvWi8ePH5MnTx4mTBiLvf1qzO/MEcjlR7G3D2bFisV4\neIRhb78eOIFCsRuVahNr1vyZacvBtFots2fPQaP5FHOCCCAfGk0L5s6dh1r9/KeHIOR8kiRx9OhR\n5s6dy/bt20lOTrZ0SIKQo4iaRDncV199w++/r0Ot/hhwAlZjXn7W9bkj7+Duvp+oqPTbUQvC+2LJ\n0iWMmzGWtrta41jAEckkcXLWKU4vPEvf8734zXcxh/ccpnTp0oB5UD76h9EcPnSYPPny0LdnX0YM\nG5Gp0/Rzg++GD2fl/PlUV6vJB1yTyzmjUhF89CguLi6U8vVlkF5P6nmND4BAV1fCo6NTnnibTCY0\nGg2HDh1i0oQJ3Lhxg2LFijFy/HiaNWtmiVsTcihRkyjnEeMvy7l+/TofffQxiYnVgQ8BLba2R/D1\n1XPx4mmsrKwIDAxk8uRfuX8/HH//yowd+z1ly5ZFo9GwZs0aDh/+iyJFCtKrV0+8vb0zLbYbN25Q\noUINEhP7p3vN0XEhJ08esPjOUYLwOuLj42nWsCG3Ll+msMlErLU1BkdH9h06RLFixSwdniBkOVG4\nOpc7c+YMO3bs4Pr161y+fJ1Ll65gMCQjSQbgM+DZG5kBWMbPPw/m229HWC5gQbAwSZIY9+M4pkyZ\ngkuZfKhjNKhcVbRZ24ob228SuTKasyfOAnDhwgVq1a9FtfH+lGpbkoSwBI6MOkbZvGXZsHpjlsQW\nGxuLSqXKccvdJEli9erVzP7lF6KioqhWowajJ0ygVKlSHDx4kP4BAXSMi0t33kRrax49eYJKpWL6\ntGlMnTSJJ/HxODk6Mvy77xg2fHia5WiC8IxIEuU8YvxlOT179mX58hsYjbVTtUo4OCxn1aqZtGjR\n4pXXMBqNnDlzBoPBQKVKlTJtJlFiYiJubp7odF9gXoj8jBqlcj6RkWE4OztnSl+CkBWSk5MJDw8n\nX758ODo60qtbNy6sXUszvT5lSc1JmYywkiU5d+WKGLcI77yMjMHEcrMcSJIkunbtSc2ajZkwYTdr\n117jypXLTJ36E0uXzsPd3Q1YAywDNgHTqFOnDMOGfWPRuAXB0mQyGT+M/YGrl67ipHVGIbelUOWC\nBHXdw9+z/2HDqg0px46fOJ6PR1Wh0oCKOOR3wLOiJwFbW3LwcDAXLlzI1LiCgoIo/WFpipYoipuH\nG607tCY6OjpT+3gbMpmMTp068deZM9wKD2fF2rUpT4Z9fHyI0OsxPHdOFODs4ICdnR0Tf/yRWePG\nEfDoEd8nJ9P28WPmTpjAD+PGZfu9CIIg5DZHjvyF0fh8zTYZiYmFOHXq1CvPP3z4MF5eRalfP4Cm\nTT/H3d2LDRs2vPK8jHBwcKBr1y7Y2e3i3/IHWuzsgujYsaNIEAmZSpIklv+5nLIflcXB2YGK1Sqy\ndevWN77e3PlzccnvQtnyZXH3cKdj146sWbuW2qkSRACVJInI+/e5fPny29+EILwDxEyiHGjt2rX0\n6jUCtfpzSFng8Qg7uz+4cCGUYsWKcfz4cRYuXAhA//79qVKlisXiFYScSJIkQkJCuHDhAkWKFKFp\n06ZpauJ4FPSg/eE25CmSJ815Qb330LNSL7744otMieP48eM0bdmUpssa49vEB328nmM/HSdufxzn\nTp3PFTvDtGzWjPADB2io16PEvPHyFpWKL0aPZvDQoXi6udE1MTGlWgWY92FcZm9PREwMdnZ2lgk8\nBwgNDWX79u0olUratWuHr6+vpUPKEcRMouwnk8maYN4zXQ4sliRp8nOvv/fjL0tp2LA5+/bZABXS\ntKtUW/j11/707dv3pedGRERQvHgZ1OpmmGtWAoShUm3g2LFgPvzww7eOT6/X88UXA1mzZg22ti4k\nJT2kXbt2LFo0/4U7XQrCm5oybQozl8yk7szaeFb04N7h+xwYFMz0idPp8nmXV18gldlzZ/Pt0KE4\n2MgoKMF9uQydtRx1nJ7RpJ8pscLJicWBgdSqVSvT7kd490mSlOtmn4nlZrlU7dqNCAlxAsqlabex\n2cPo0U0YO3aMZQIThHeIX0U/Kkz9kKL1iqRpX1d/AxMHTKJ169YvPffcuXOs27AOQ7KBgE8DqFq1\n6ks/IFq2a4mhrp5KX1ZMaZMkiRVVVjF3wjz8/f05d+4c+fPnp2zZsplyb5ktMTGR3t26sWPnTvLY\n2hJnMDB4yBB++N//uHXrFjUqVKB/YmK68xY6OnLg5Mn3sl6FJEn07t6dbRs2UEqnw2hlxWUrK8b/\n738M/fprS4dncSJJlL1kMpkcuAbUx1xS7BTQQZKkq6mOee/HX5ayZ88eAgI6o9F0AvI+bb2Ko+Me\n7t+/9Z+zdSZOnMSPP25Fp2uapt3K6jCdOxdh2bLfMy3Ohw8fcufOHQoXLoyrq2umXVcQwLyrc4FC\nBeh8ohP5fPOmtIf9Fcaez/dz78Y95PKML4LJ46DCT6ejgVFCBkjAHhs5Zw0mWgGpRyZPgMV2doRH\nReHo6JhJdyS8y44ePcqIr77i+OnTOKpU9OzZk/9NnpwrHoxmZAyW8a1mhGyTmJgIuKdrT05WEB+f\nkKbtWXX+1avXYTQaad++DXXr1s11GU1ByG79e/dn2qhfKLDbE4WT+Uno1S3/8OjvxzRv3vyl540e\nP5r5i+ZRplsZrJRylndZTrP6zViycMkL/+4uXrpIo/EN0rTJZDIK1PJk2uTJnDh5Em+FgocGA4V9\nfdm0fXuO28HLwcGBNRs3EhsbS0REBEWLFsXBwVybwt3dncTkZDSAKtU5WiA+KQkPDw9LhGxxGzZs\nYO/GjfTRaMzzQU0mPjYY+GH0aJo0bZpSPF0QskkV4LokSXcBZDLZGqAlcPU/zxKyRaNGjfjpp1GM\nGjUaGxtvJEmLUmlg27Ydr1zOde3aTXQ6l3TtRqM7N27cztQ4XVxccHFJ35cgZIZ//vkHpwJOaRJE\nAF7+XiQmJhAVFYWnp2eGrhUdHY1araUOIAN0wBkg1mDCBGy1skJtNOKDefn8IZWK0aNHiwSRkCGh\noaE0b9SIehoNI4F4tZr9ixZx8cIF9hw8+E58Dxc1iXKg1q0/Qam88lxrMirVPzRv/u+TIkmS6N9/\nEE2atGX+/CssXHiNTz/tTKdOXTGZTNkbtCDkEtHR0Xw78lsWLl1IUqyBWQXmEvjZDlbXWEvIoCPs\n3LbzpdPnT548yYLFC+h+rit1J9am1via9DjflX3H9750zbyPjw8RpyPTtd8MvMk/J07QX6ejY1wc\nX2o05L1yhaYNGpBTn+a7urpSrly5lAQRgJOTE+3btWO3UknS07YkYI9SSZvWrcmTJ88Lr/WuW7pw\nIZXU6jQ7wuUByhkMrFyxwlJhCe8vL+B+qp/DnrYJOcTQoUOIjAxnzZrpbN++nIiIe/j7+7/yPH//\nStjbh6Vrt7W9S9WqlbIiVEHIEm5ubjx58IRkfdrt6LWPtCTrjTg5OWX4Wk+ePEEpk2EDqIFFQDjm\nBZ31AIVczrWiRVnr4sLNDz5gxtKljPj++8y7GeGdNmHUKKprNHyIecZNPqClTseF0NAM1ZHLDUSS\nKAcaOHAAHh6JKBSBwB3gGirVWmrWrEidOnVSjjt06BArVmxAre6BJNUEaqBW9yAwMJjAwEDLBC8I\nOVh0dDSVqlYi+PFBKv5anuq/VCW/X34coh2ZOXIW92/dp1Kllw+qV61dRbk+ZbF3+3d3MlsHW8oP\n/pA/1/75wnNGDBnBsTF/EXXRXKjaZDRxalYo8bce0UivT9krRg5UNxqJi4jg6NGjmXXL6SQnJ3P0\n6FEOHjyIVqvNlGvOWbCAkk2bMlupZJWzM7OVSnwbNWLeokWZcv3cSJOYiPIF7TbJyahfsDRPEATB\nycmJpk2bUqtWrQzXq/v8889xcHiEldVhQI95x9tTKBRXGTx4YFaGKwgZFhkZydatWzl8+PBLH2R7\ne3tTpUoVjow/mvKwzGQ0cWhECK3bBqBSqUhOTn7huc8rWrQoVnZ2RACHAR+gHVAG8Ad6Ggw8iIgg\n9Px5Tp4/T/v27TPhLtPT6/X89OOPFCtYEE8XF7p26sStW7eypC8h+4SGhlL8uTYrwMdoJDQ01BIh\nZTqx3CwHcnZ25syZE/z660zWr9+CnZ0dffoMpU+fPmmmr/3552o0mg8gzVcRW9Tq8ixbtpKWLVtm\ne+yCkJNNnT4Vz8YeNJ7XMKXNp2FRFpVaQv78+bGxsfnP83V6HTYO6Y+xcbBBq3txwqVRo0ZMGjeJ\n7xp+i8rdHvVDNT5FfMDKCnejMc2xMsBdJuP+/fsvvNbbOnToEB3btsVWr8dGJiPWZGLW3Ll06dr1\nra6rUqlYu2kTYWFh3LhxA19fXwoWLJhJUedOn7Rpw58XLlBCq+XZu3Yy8I+DA9998oklQxPeT+FA\n6nWs3k/b0hg/fnzKv+vUqZPmwZSQMzk6OnLixBH69RvI/v3TkCSJypWrsXDhwff+fViwPEmSGDFy\nBAsWLKBwtULE3Y/HWmdN4KZA/Pz80h2/culKmrVqxuJSS/H4yIP7x8LwK+WH50cFcPN043HMY0qU\nK8FPY3+iTes2L+3XxsaG6bNm8U3//hgNBjo/97oTUEIuZ+fOnfTp0ydzb/opSZJo2bQp948fp65W\niwq4sHYt/rt2EXr+fI4rLSBknKeHB7GPHpH3ufZHNjYUKFDAIjH9l+DgYIKDg1/rHFG4Ohfr2rUn\nf/4ZgTknntpZmjeXs337pnTnaLVaYmNjyZ8/P7a2ttkSpyBkteTk5DQ7l71M2Y/K8PG8Knj7p11l\nsf+bA3zi+infv2Kq8c6dO+n3fT+6nvocK1vzU17JJLG+yUaGtR9O7969X3quXq/n0qVLODs7U6xY\nMfw/+ohCZ8+SulR1MjDXzo6jp09nes2aqKgoSvn68olaTbFnbcBalYqg4GAqV66cqf297xISEvD/\n6CNsw8L4QKcjCQhVqShVsyZbd+58reKb7yJRuDp7yWQyK+AfzIWrI4CTQEdJkv5OdYwYf+Vyer0e\nk8mUKwqnCu+HxUsW88PcCbTb3QaVqwpJkrj45yVOjgnl7o27L3w4J0kSJ06c4ObNm5QtW5ZZ82dx\n7PZR6s2qg0sJF27tvc3u3nv4bdYiWge8fJMRgMDAQDq1bk2n5GSe/+q+1d6ewXPm0L1799e6p9DQ\nUKbNnsa1G9fwK+3HsCHDKFeuXLrjDh8+zGdNm9JbrSb1vMD91taU69WLuQsWvFa/Qs6xfPlyRvXv\nTweNBgfMRdHPAyfc3LgTFpbjv2NnZAz2fo9Sc7n27Vvj4HAZ81fLZ4zY21+iU6e2aY41GAwMGjQU\nF5f8lCpVHhcXDyZM+EnULhJyLUmSWLhoIYWLF0ahUOBVxIsZs2b8Zz0fBwcHtI/Sz/jRP0xKU2fn\nZZo0aUKFYuVZU289V9b/zT9br7Hxk83k1eWlc+fnn1OlpVAoqFixIsWKmVM0EyZNYp+dHdcBE+ad\nNbYpldSsXfu1EkQajYYrV67w6NGj/zzuj2XLKGE0piSIAPIDlbRaZk+fnuH+hIxxdHTkr9OnaTd6\nNJf9/LhfsSLDpk9nU2Dge58gErKfJElGYCCwB7gMrEmdIBLeDQqFQiSIhBxl5vyZ1JhUHZWreWsL\nmUzGB13L4VDYnl27dr3wHJlMhr+/P59//jmurq6sX7+elhtb4FrKFZlchm9jHxr91pAxP756t+cW\nLVow8OuvOalQkHp0GAtcNxr55DVn9m7espmGnzTkUfmHlJtclvBiYdSqX5P9+/enOzYkJARfrZbn\nF46WSk7m4J49r9WvkLN06dKFLgMHskCpZL2TE4sdHbng7c2eAwdyfIIoo8Rys1ysWbNm1K5dkeDg\nlajVHwJy7O0vULFiUdq1a5fm2P79B7Nq1SG02j6YJ1k+ZMqUxVhZyRk9eqQlwheEtzJj9gx++e0X\nGv/ZEK+PCxB5JpJf+04nPiGesaPGvvCcHp/35JdJUylarwjWSvPbX/TlGK5tu067n9u98JzU5HI5\nm9ZuZsWKFaz8YwUGg4EBLQfSs0dPlMoXVaB5ucaNG/PH2rV8+9VXrLt7F6WtLT169mTyL79k6HyT\nycSEsWOZ8euvOFhZEZeURKuWLVm4ZAn29vbpjr9z6xZ5dbp07W6SxJ2bN1N+fvDgAYsWLuTqpUuU\n++gjevfpg7t7+t0WhVdzcnJi5KhRjBw1ytKhCAKSJAUBJS0dhyAI74+oiCjqlKyVrj1vybw8ePDg\nleefP3+ewh8XQuGYdkMRn0ZFWdN8HSaT6ZUPXkaOHs2enTtZdecOxRITUVtbc97GhhmzZuHq6prh\nezEajQz8aiAtN7SgUA3zUs5CNQriWtaFgV8P4Mq5v9OUBXFxcUGtVIJGk+Y6cYDLa/Qr5DwymYyJ\nkyfz9fDhHD9+nHz58uHv7/9OPQQUy81ysaSkJI4dO0ZwcDDHjoUiSRJdunxGx44d00zffPToEV5e\nhdHpviTtJtWxODmtJjY24pW1WAQhJzEYDHgW8qTd/ta4lXFLaX9yN44/PvqTiPsRqFSqdOcZjUY6\ndOlAyIkQirf1RR+bxD+brzFvzjw6d/rvmUBZSavVolAoXuvDZcrPPzP/xx9ppdGQB/OW83uUSoo2\nbMjGbdvSHb9s2TKmDhpE++eKJu+1taXqgAFMnT6dEydO0LRBA0oaDOTX63mgVHLL1pYDhw/zwQcf\nvOVdCsK/xHKznEeMvwRByGyftP4EqaGRiv0/SmkzGoz8Vmwxe7bsoUKFCv95/vnz52nYqiH9bvZG\nJv/3IyP6UjSbm2wjKiwqQ3EkJSWxceNG9gUF4eruTo9evShVqtRr3cvly5dp0KoBfa73TNMumSRm\nus/h6oWraerRPHr0iKIFC9JWo0kpCKcFVtnb8/Nvv9GpU6fX6l8QMktGxmAiSZRLBQYG0rVrL0wm\n80pIKys1K1Yso1mzZumODQ0NpX79dsTHd0/3mlL5K7dvX8XDwyPrgxaETHL37l0q1qjIl/f7pXtt\nSZk/CFoX9MKCiGBepnby5En27t2Lo6Mj7du3x9PTM6tDzlQmkwkPFxfaPnlC/lTtScAcpZJL166l\nK1iq1WopW6IEBSMj8U9Oxho4B5xwcuLspUt4e3tT2teXD27fTlMn6QwQ+eGHnDh3LsvvS3h/iCRR\nziPGX4IgZLbQ0FAaNmtIrV9qUqZtKeLux3P4+yMUNBVi55adaY59/PgxDx8+pFChQmmW7FSpUQX7\nBnZUH1MNuZUcXZyOLQHb6NKgK2NGvnrJWWa5ffs2Fat9xJdhXyC3+vehnkFrYFb+Ody/E0a+fPnS\nnBMUFESHtm0pKJejNBq5ZjLRvVcvZsyenWbWkSBkJ5Ekekddu3aNChWqoNG0BZ59EbyLSrWJCxdO\n4+vrm+b4mJgYChb0Qa8fSNqd0B5jb7+MR4+i35n1k8K7zWQyYTAYMBgMeHh70O967zTb0esT9Mwr\ntJBb127h5ub2H1fK3RITE3HNm5fvX7AV7CpnZxZu2fLCXYkePHjA0IED2RIYiNFkol7NmkyfMwc/\nPz+uX79O1fLlGajRkPpTwwj8qlBw4+5d8ufPn+6agvAmRJIo5xHjL0EQssKxY8f4duy3HA85Th4X\nZ3r26MWEsRNSlunHxcXRd2BfdgTuwD6vCqPOxNjRYxk8YDBgHru07tCam3dv4lbClfuhYXT6vBPz\nZs7Dyur5ij9Z6yP/jyjQ04OP+v47A+qvyccxBUvs33XgheckJiayfft2EhISqF+/Pj4+PtkVriC8\nUEbGYKIm0VtITExEoVBk+1KtuXMXkJRUnn8TRACFMRg+YMGC35g6dXKa493c3GjZsiXbtu1Cp2sC\n2AGJqFS7GDDgS5EgEnI8jUbDd6O/Y+mSpWjVWkp/WJoaNWqwf/BBmi1tgrXSmmR9Mge/DqZx08bv\ndIIIzFvO53FyIvLRI1LPAdQDEXo9xYsXf+F5BQr8n737DIjiaAM4/r8D7g6OqmIBFezYO/Zeo1ER\na+w19lhTjRpjL/FVY8Heu4JdNBgrYsFeEFRsiAqC0u7gOG7fDxj0QKNRmjq/T2F2d/ZZQ5l7duYZ\nB7Z4epKUlIQkSUY7wkmS9Ma3WrLXjguCIAjZU2JiIvfu3cPOzu4/1VkRhH8EBQXxx7w/uHDlAoWd\nCzNyyEiqV0+9g/J/V7NmTU74nHjr8XbftCPK8QWD7w9AZaMi7Ho409pNw8bahp7de+Lg4MDp46e5\nevUqDx48wMnJiZIlS2Z6gghg/cr1NGzWkPv7H5Crai6ennxKTGAsJ/5++/NZWlrSuXPnTIlPkiQe\nPXqEQqEQ9SSFj/L5VFfKRIcOHaJ48bLY2eXCysqG7t17ExUVlWn3v337Lnp9zjTtiYk5uX373mtf\nJ7Jp0yY6dOiCUqmgdm0HVKqFWFuvQKXyoE+fFkyZ8numxS0IH6rdN+049ugofa705Kf47yk9oSSn\nz53GJtyWhQU82N7Ui8VOS8kZZs9Kj5VZHW6Gk8vl/DR2LPvVaiJetsUB+1QqWrZsiaOjY5prNBoN\n8+bNo66rK03r1WP9+vXoX5uJVKxYMWxy5CAo1XVXgWJFioglqYIgCNnUsmXLyZ3bkYoVa5M/vzPN\nmn1NeHh4VoclfELOnDlDtdrVCLK/SanJJYiq+oIW7i1Yv3H9e/eh0+lYvnw5jVs2olGLhixbvgyd\nTvev11y/fp2LVy7SbHETVDbJM4tyl7aniUcjps6amnJeYmIi6zato0uPLtSoWwNHZ0f+XPRnpr/A\nKlWqFLcDbjOi1UhcY6vxc5dfCLoehLOzc6bGAclJvXG//sp3Q4awd+9efHx8KFmkCGWKFaNIwYLU\nqVaNW7duZXpcwudBLDf7j3x9fWna9Gs0muZAcUCDUnmMsmVNOXvWN1PWl06dOo3Jkz3Rao23bTQ3\n383Eid/w/fdjiI+Pp169Jty48YTYWBdksgTMzS/Rv383evfuSaFChbC2ts7wWAXhY12gNmvGAAAg\nAElEQVS+fJlGrRox4E4/TMxevTW6uuEaEaufs2bpGgIDAylatGjK9vJfAkmSmD51KrOmT8dUktAm\nJdG5c2fmL1qUZgtkjUZD3erVSbh9m7JaLXrgvFpN2Xr1jLZkP378OG1atKCMTkfexERCFQpuKpUc\n/PtvqlSpkgVPKXyuxHKz7Ce7j7+EN9u5cydduw5Ao2kL5AN0mJkdp2RJLZcunRN1T4T34lq7Kg4D\nHSjX7VU9x8cXn+D11U5CHzx+56oDvV7PV62bc197n/JDkze6uLLoKg6mjhzae+itqy48PT2ZuO43\n2ni1Mu4vQc8sqzkk6hIB+HbIt5y4c5wmHo2wdbbl8cUn7O/uzS9DfmHIoCEf8+gARERE4OPjg4mJ\nCc2aNcPKyuqj+8xIS5cs4YeRIymbmIhKr+eGhQWR8fG4GQyUILlUgL9czuUcOQi6exdLS8usDlnI\nRt5nDCZmEv1H48dPRqOpA7iQ/M9nSULCVwQE3MPX1zdD752UlERYWBg9e/bA3PwBcvkpkkvVJiCX\nn0StDqVv3+SK+x4eHly9GkFsbBegCpJUC42mF0uXrsLMzEwkiIRPxsWLF3Gu72SUIAIo3KQQVy5e\noVChQjRv3vyLShBFR0czc+ZM7j14wIIlSzh54QKhYWEsW7UqTYIIYNWqVWjv3KGdVksJoDTQJS4O\n/2PHOHz4cMp5devW5cLVq9QcPpz4Jk2oP2oUl2/cEAkiQRCEbGrChKloNA1IThABKEhMbMSdO6Gc\nOnUqK0MTPhHHjx/nwtmLlOlcyqg9X8W8qPNZcuHChXf24enpyZ3IO3T8qz0l27lQsp0LHQ6140Hs\nA3bs2PHW64oXL84j/1AMeoNR+6PTjyhU3JlTp07x3fBhrFm1hhoTqmHrbJsSW4u1zZkyfQoGg+FN\nXb+3BYsW4FzUmSkbJzNhxXgcnRzZsnXLR/WZkUJDQxkzYgQ9tVoa6/XUBhw0GqoZDLiQXCbAFKhu\nMGCv1bJ58+asDVj4JIkk0X90+fIlIHXBMTlJSU5cvnw5w+7r4bGEPHnyU7BgUYoVK0nz5s2pVw9M\nTGZhYjKbRo2UnDnjm1JVf/XqTWi1lTD+X6wmMbE0np6eafo3GAzvnBIqCFmhQIECPLsekWZKcdi1\ncBwLpl1W9bnbt28feXPkYMJPP7F16VL6dO1Kw9q1iY+Pf+s1OzdvpkyqgtSmQMm4OHZ7eRmdW6hQ\nIWbMmsWeQ4eYMm0a+fPnz5gHEQRBED5acPBtjGtUQvLHxPwEBaVeQCwIxjQaDe06tUNmKiNRk2h0\nTJIkEmIS3vjyKbWd+3dSsrcLctNXnzvkJnJK9XbBa5/XW68rU6YM5UqX46+hh0mITgDg2c1n/DXo\nb+xz5Ma9hzuXbS5RcWAFtrbdge/0V4nPfJXy8uL5C2JiYv7rY6fw8/NjwtQJ9LrQA7ddrWl3oC3f\nHO3Et4O/5fbt2x/cb0by8vKihEzG6/uoPQOc3nBunrg4rmXg51Ph8yWSRP9RgQJOwJM07WZmz3By\netOP58dbuXIlo0f/RkREaxISRqPV9sfL6wI5c+ZEq41Dq43j0KG9RtXykz9Pp51FJknGBWhjYmLo\n128garU15uYWlCtXhWPHjmXIcwjCh2jQoAGKeAVn5/ojGZK/d2Mex3Js9AlGDR2VxdFlLp1OR4c2\nbaiRlMT3wAigFxAVHk7Hdu3eep3KwoI3pYAT5XLM1eo3HBEEQRA+BYULFwEepmqVgBCKFy+eBREJ\nnxIvLy9yV8pNsa+LcmrWaaNjN7YGYKW0oly5cu/sR6VUkRiXdsfVxLhEVErVG654xXOzJwWiC7Kw\noAdLi65gS71tNKnehIcxD+h9pQf1fq9L0zmN+fZSX87OO8eTy08BiLwdiUql+qilVB4rPKg8shJ2\nhWxT2vKUy03ZXmVYuSZ71rjU6XSYppo9lQN49IZzw9VqSpQq9YYjgvDvRJLoPxo7dgwWFseA5y9b\nDMhkZ7CySqR58+YZcs9x435Ho2kBOLxssUarbc3evXt58uTJG9f59ujRCXPzC8Drv0Q0KBQ3aNu2\nLZCcLGrc+CvWr/cnPn4ABsMvXL1aiBYt3Dh37lyGPIsg/FdyuRzvPd483RTGkiLL2VJvG8tLraR7\n6+706d0nq8PLVAsWLMAqKYm6vNqaMh/QFDh98qRRIerX9ezfnwtqtVGiKAa4olTSpWvXDI1ZEARB\nyDgTJ47FwuII8Phliw4zs8MUKeJAzZo1szI04RMQGhqKbQlrmv6vCQHbAtjQdBMnp51ie0dP9vbd\nz+a1m9+rrlW3Tt24svgq8S9ezWqOj4rn8qKrdO/c/V+vtbW1ZfvG7dy/c59j+44R+uAxz148o+LI\niphZvPqMY5nXkvK9y3NjSwCaZxoOfevDkMFDPmqXs8dhj7EplLYEh1UhS56EpZ0UkB20aNGCALkc\n7WttrsBJIJjkFLEBOC+TEapQ0FWM84QPIJJE/1H79u0ZP34U5uYrsbFZh4XFIlxcHnHsmI/RdtLp\nRafT8fjxQ9JOJVagVBYgICDgjdcNHjyIkiWtUas3AxeRyU6jVq9h0KB+lCmTXJTu5MmTXL8eTEJC\nS8AaMAHKoNXWZPz4Sen+LILwoQoXLszFMxfx2eXDovGLuX/nPlMmTvnsC3ImJSUZfR0cHJzmNwGA\nI2CQpDTn/8Pd3Z16rVuzQq3miEyGj4kJK8zNGfnjj1SoUCH9AxcEQRAyhZubG3PnTsHOzgu1ehFK\n5TwaNrTFx+fAZ/83Uvh4VatW5f7BB1jls+Tby/0o17Ms8S/ikfQSrVp9TeXKlVPOff78OT/8/AOF\nSxamaOmi/DLuF6Kjo4HkWd+dWndiVfm1HB13nGPjj7O6/FrafdWORo0avVcsOXPmpESJEiiVSuLj\ntSit0hbLVlgpuL7uBh5Fl9G0fDMm/Drho56/fs36BO+6a9QmSRL3dt2nXs16H9V3RilRogR9+vdn\nnVrNBSAQOKNSYWdvz9+5c7NIrWaeSkVIqVL8feKEqEMrfBCxu9kHiomJ4dKlS9jZ2VG6dOmP+kO8\nZ88eJk+eyb179yhTpgy///4rtWrVApJ/UeXMmZfnz92B17eg1mNuvpBLl06/dTpxQkICW7ZsYfv2\n3VhZWdKvX08aNGiQcnzevHn8+OMWEhKapboygty5vXj6NPX0ZUH4vFy+fJklK5YQ+jSUutXr0qd3\nH2xtbd99YQaSJIm5c+Ywe/p0Hj97hrOjI2MnTqRv377s2rWLvm5uDMV4MelFwNfSkvB/WZcvSRKn\nT59mp6cnCqWSTp07pySMBSGzid3Nsp9PZfwlvFliYiL37t3Dzs6OXLlyZXU4widCkiTqNKpDnEMs\ntSfVwjKPmmubrnPiJ19OHjmZMk6IjY2las0qqKuqqTi0AlKSxPm5F5ACJU6fOINKlbyk7Ny5c2zz\n3AZA+7btcXV1/aC4/lzwJx7ei3Hf45byGUufoGd1xXX8NPAnunbtSs6cOT/6+SMjIylXuRyFOjtT\naVAFbu4M4uzvJ4l/kUCd2nWYMGVKymey7ESSJPbt28fyRYt4HhlJCzc3Bg4ahJWVFbdu3UKpVOLs\n7JzVYQrZ1PuMwUSSKIstXLiIH36YiEZTl+SFI/exsDjO1q3radmyJQDTps1g8uSlL7c3tQISUSgO\nU62amuPHfT743p6envTq9TMxMV1SHQmgQoV7XLx4+o3XCcLnYNWaVYz6cRQVBpfHtqgt9/bcI+Js\nJKdPnMbBweHdHWSQ8WPHsnbuXJppNOQjudLEAQsLxs6YwaDBg3HKl4/8YWE0ABTAPWALMGfRIgYN\nGpRlcQvCfyGSRNnPlzb++lQEBARw9OhRbG1tadWqFZaWlkiShI+PD6tXryc+PoFOndxxd3fPkBnt\nwucvNjaWn8f9zLq1a4mNjqNOw9rMnDyLqlWrppyzcNFCPA4uxm1n65SkjSRJbGuyg5+7/0LPnj3T\nNSaNRkPtBrXQ5UukTL9S6LV6Ls69RDnH8nhu8UzXWXIhISGM+30c2zZuxlQTz1cS5AHuAsfNzRn+\nww8ULFiQ2rVrizpfwmdBJImyOa1WS+7cDsTGdgXsXztyC2fncwQH30Qmk2EwGPj++59YtGgxCoU9\nOl0EderUZsuW9djZ2X3w/XU6HQUKFCI8vAqSVJHkuQlRqNWbWbVqHh06dPjIJxSE7Ck6Opr8zvnp\n6vsN9iVfvXE98tNRCj8ryprla7IkrtjYWBxy56afVovNa+1PAE87Ox6FhREZGYn7119z1t8fE0Cp\nUjFpxgyGDRuWJTELwocQSaLs50saf30KDAYDPXr0xdNzJ1AcU9M4JOkRO3duZ8uWHWzcuJO4uPKA\nGWr1NapUKcpff+17Y51KQXhfkiS9MQHTpmMb5G2gbFfjGcgXll7Exs+ODas2pHsscXFxLFu+jO17\ntqNUKOnRqQddu3bNkGRoTEwMjnny0Eer5fVPVjeBvTIZLhYW3DIYcHN3Z8WaNR9VB0kQstr7jMHE\nK4csdO3aNeRyG4wTRABFCQ3dSUREBLly5UIul/PHHzMZP34sgYGBODg4pMu21AqFgqNHfWjZ0o3w\n8HPI5VbodKH89NPPIkEkfNYOHz5MgWoFjBJEAJWHVmJV+bWwPGviunXrFnZmZthotUbteQFdfDxh\nYWE4ODiwaccOFv75J0E3b1KvUSN69OiRNQELgiAIGcLDYwleXsfRageTPG8U4C6tWrkhk5mj0fQF\nkpf4xMVVwN9/E+vXr6d3795ZFbLwGXjbDJ2cdjkJefwgTXtsaByF7YpmSCxqtZoRw0cwYviIDOn/\ndZcuXSK3mRl2qcZfxYF4SaJJXBxNga1eXiysWpXvhg/P8JgEISuJwtVZyNbWlsTEaCB1sdl4wICF\nhYVRq42NDa6urumSIPpHyZIluXPnJkeP7mHHjoU8eRLCr7/+km79C0J2JJPJkFJtHwogGd78Bi2z\n5MuXj8iEhDTb1ccCeknC1taWw4cPU9bFhePz56Pfs4el339P3pw5qVS6NB4eHm/d4UwQBEH4NEiS\nxPTps9FoVIAvEP7ySCH0enO02tL8kyBKZkJcXAXWrNmc6bEKX4Z+PftxYf4loh+9qn344t4Lriy5\nSp8en/5Os3Z2dkTp9aQeGWpI/rBsSnKqtrZGw+L58zM9PkHIbCJJlIWKFStGsWJFkMtf325eQqE4\nTsuWrdIkiTKKTCajcuXKNG7cGBsbm3dfIAifuMaNG/PIP5SnV8OM2v3nnce9nXsWRQV58+alYcOG\nHFYo+CfVkwj8pVLRtUsXlEol3Tt3prVGQ7OEBCoDHRMTqZmURMSNG8wZPRr3Vq0QS0YEQRA+TXq9\nnpYt3QgJiSS5MkoisApIrhOZlCSWkwmZr2bNmnz/3fcsL7OSDfU3sbbmelaUX83EcRM/i11SS5cu\njUPBgvi/9qLQABwGypK8/zOALRARGZn5AQpCJhPLzbKYl9cW6tZtRHT0bXQ6e8zMQnB2zsWyZYve\neW1sbCxr167lwIG/cXDIzYAB/ahUqVImRC0IGS8+Ph5vb2+ioqKoV69euu7SYGlpyaIFixjSaAjl\n+5fFpqgN93bfJ/ZGHDuOeaXbfT7Emo0b6eDmxsKzZ8mnUBCSkECTpk3534IFnDt3DrOEBIqkuqYa\ncAz4QaNhzcmTHD161GgnQ0EQBOHTsGrVKo4du4EkDeXVML0asAQohJlZLDLZVeLjq/NqNlESavUl\nevUamxUhC1+IyhUqY2ZqigwZVg5WRARG8uDhg7fWMfqUyGQyduzZQ+N69QiMiSGnTsfNhATsgG9e\nOy9AJqNOnTpZFaYgZBpRuDob0Ov1HDhwgODgYMqWLUuDBg3e+cv22bNnVK1ak7AwJRpNUUxMYlAq\nLzBr1hQGDxY7HAmfthMnTtC2Q1tylc6FOo8Ftw7eplfPXsz7Y166DkQCAgJYtnIZoU9DqVO9Dj26\n98DKyird+v8YgYGBBAcH4+LiQqFChQDw9fWlW4sW9IqONjo3EZgO/Az4ymRUHjWKWbNnZ3rMgvC+\nROHq7OdLHH9lR9Wq1eXsWQegZKoj+zE1Debrrxtgb5/rZeHqciQXrr6Oq2sxDh7cKwpXCxni+fPn\nFCpWiDaerXCqWxAAbaSWzfW3MnvsH3Tq1Om9+0pMTEQul7+z+HNSUhJyuTxTE1B6vR5vb28ePHiA\n1/bt3Dt9mrovNxMJkMk4bWHBcT8/ypYtm2kxCUJ6y7TdzWQyWXNgLsnL11ZIkjTjDefMB74C4oBe\nkiRdektfYpDyHgYPHsby5edITPzqtdZIVKqVPHx4l1y5cr31WkHIzmJiYnAq4kSLDc0p3CQ5ORL/\nIp4tjbbx+3eT0n2b1U+JTqfDMU8e3F684PXKZGeAW0A34C8zM5qOHcv4CROyJkhBeA8iSZT9iPFX\n9lC+vCtXrrhAmjmjf9G4sQUHDuzHxMSEw4cPs3r1euLjE+jcuR1ubm4ZsuuTIAAsXbqUxX8votXm\nlkbtN7YHEL40gmOHjr2zj4sXLzLixxH4HvHF1MyUtu3dmDtrHnny5DE6z9/fn1E/j8L3iC9KlZJO\nXToxZ8acj9rR+UPo9Xrm/e9/LFmwgMgXL6hTuza/T5+eoQmi69evExoaSvny5cmdO3eG3Uf4sr3P\nGOyjaxLJZDI5sABoBpQGvpHJZC6pzvkKKCJJUjFgAODxsff90m3b5kliYpVUrTkwNS3KgQMHsiQm\nQUgPXl5e5K/pmJIgAlDZqqgxsToLly/MwsiynkKhYNmqVWyzsOCIXM4NYA9wAmgKPAeumpryTZcu\nWRqnIAiC8GE6dnRDpboKvJ6w06FWBzF16hRMTU2RyWQ0btyY9etXs337Jtq3by8SRMI7eXp6UrZK\nWRRKBYVKFGLBogXvXcMwPDwctVPaWqm2TjaEh4e94QpjwcHBNGrWEKsOan6IHc2wkME8zPOQuo3q\notO92q7j5s2bNGnRBNtvrPkxbgwDb/fnhsl1GjRrQFJS6o1+MpapqSmjv/+eoPv3eRYVhde+fR+V\nIIqLi8PX15eAgIA0xx49ekS1ihWp7+rKdx06UMTJieFDhmB4wyYrgpAZ0qNwtStwS5Kk+5IkJQKb\ngTapzmkDrAWQJOkMYCOTyfIgCIKQSnh4OJZO6jTtts42hIeHv+GKL4ubmxu+Z89Sql8/zubJw01T\nU0rJZJxXKFipUjF15kyKFSuWafH4+/vTvGFDbNRqCufPz8wZM8QOa4IgCG+QkJDA+vXr6datN2PG\n/MDNmzfTnDNs2FAKFEjE3NwLCAQuo1avx82tJVWrVn1r33fv3iVPnvzIZApkMlOUSmsWL16ccQ8j\nfFLWb1zPgFEDKDupNKNfjKDB6rrMWjmLcRPHvdf1tWrV4u6e+xj0xkmLIK/b1Ktd/53Xz5k/h7L9\ny1Cpf0VMlaaY5zCn4az6kFvC09Mz5bwZc2ZQ8bsKVOhTHlOlKZZ5LWm6qDFRROHt7f1fHjlbmfPH\nHzjkzk2PFi2oW6UKFUuX5s6dO0DyboZfN2uG5bVrDNZo6BwVxeD4ePatXs0fs2ZlceTCl+qjl5vJ\nZLJ2QDNJkr59+XU3wFWSpO9eO2cPME2SpFMvv/YBfpAk6cIb+hPTnd/Dvy03Cwm5R86cObMsNkH4\nGKdPn6ZN1zb0u9kbE7NX69VPTvKlwH0n1ixfk4XRZT/nz59n//79mJub0759+3Qt8P0+925Uty61\nNRpKAi+A4xYWVGvdmrWbNmVaHMKnRyw3y37E+CtjvXjxgho16hESkkBsbBFMTWMxM7vMokVz6dWr\nl9G5MTExLFmylG3bdmFpqWbAgN60b98eufzN73Z1Oh3m5rYYDE5AI8AcuAwcZfPmdf+pXozw+ZEk\nCefizjRYVY+CtQuktEc/imFFmVWE3At55+7GkiTR6KtGhJmHUWN8NSxyWXBt/XUuz7+Cv5//O8ce\nrnVdcZlYDOcGxuf5Tj9FhchK/DHzDwBKVy5NDQ9XHKo6GJ135NdjNFE0Zfz48e/93NmFp6cnQ7p3\np6NGQw6Sd03zl8u5kS8ft+7d49KlS3xdvz4D4uKMZm+EAvtz5+bh06dZE7jw2XqfMVi2nJv622+/\npfx3/fr1qV+/fpbFkl1NmvQbBw7UJCxs+8vC1dEolReZPXvWOxNEkiSxc+dO/vxzCc+eRdCiRRNG\njRoh1r4K2UK1atWoUrYyXm13UWtiDdR51FzfdINLC67gcWLpO69/9uwZ27ZtIyoqigYNGuDq6vrJ\n77rxbypXrkzlypWz5N7jfvyR2hoN/7zbtgTaazQs3LWLW7duZeqMJiF7O3r0KEePHs3qMAQhy0yc\nOJngYDN0uraADL0e9PqyDBo0jNatW5MjR46Uc62srBgzZjRjxox+r76HDBmCwaACOvJqkUAtQEv3\n7n2wtbWladOmn/XfQuHtnj9/TkR4BAVq5Tdqt3a0wr6YPTdu3KBGjRr/2odMJmP/zv1MnTGV1R1W\nExcbR5OmTfA77vdeL6ecCjgRfv1ZmiTR82svcKrmlPJ1wfwFCL/xLE2SKOpGNPm/No4/O3nx4gU7\nduzg+fPn1K9fnypVXpUEmTV5MvVeJogg+SfU1WAgKDoab29vEhMTyWNikmZ5T27g8bNnmfQEgmAs\nPWYSVQd+kySp+cuvfwKk14tXy2QyD+CIJElbXn59E6gnSVKa1Kh4k/X+4uLiWLt2LQcPHiFvXnsG\nDuxPhQoV3nndyJHfs2zZJuLiXAErFIpAbGwecvHiWRwdHTM+cEF4h4SEBGbMmsHKtSuJfhFN/Yb1\nmTx+MqVKlfrX63bt3kX3Xt0p+lURzPOquO11h9qutdmyfquo1/AfRUZGsnbtWgKvX6dMhQp0794d\na2tro3PsrKzoGxtL6v3g9qjVDFu48IsuMi78OzGTKPsR46+MlSdPAcLCWgHG1RYsLT1ZvPh7unXr\n9sF9Fy5cmLt3HYAmqY6EABtQq+1wd2/GmjUrRKLoC6TT6ciZOyf9bvTGyuHVX+wkXRILC3hw8fTF\nlF1UM8rJkydp07kNHQ+1w76UPQBBe25xqK8Pt2/eTkmSHjx4kB6DutPRpz12he2QJImbnoEcGXKM\nu7fuZpsdaF/n7e1Np3btKCyTYaHTcUuhoE7Dhmzx9MTU1BSHXLnoEBFBjlTXHVSp6DJrFi1btqRC\nqVIMjY9H8drxQOC6iwuX31DDSBA+RqbsbiaTyUxI/j5uBDwGzgLfSJIU8No5LYAhkiS1fJlUmitJ\nUvW39CcGKRkoODiY0qUrEh8/EHhVgM7U1Ic+fcqyZMmirAtOED7C8+fPcSriRMdD7XGokg8Afbye\nbV95Msx9GN8N++4dPQj/uHTpEk3q18cpMRF7jYYnajVPVCqO+vpSokSJlPOKFihA/ZAQCqS6fr2V\nFfM2b6ZFixaZG7jwyRBJouxHjL8yVq5cDkREtAOMd59Vq3exYMF3aZac/Reurq6cOxcDdE515Crw\nFzAEtXoVe/ZspEGDBh98H+HTNWjYIE499aXluq8wVZoiGSSOjT2OyQUzjhw8kikxrFi1gtHfjyZX\n8VzoYhOQYmHrhq1pZjHN/XMu4yeMJ1+5fGgiNMg0MnZs3vGvNbmySnR0NAXy5aODRpMyFtIDWy0s\nGDhpEiNHjaJ5w4Yojxyh0mvXGYDllpZs3r+fOnXq0KVDBy7v20djrRZbIBjYb27Oqs2bad26dWY/\nlvCZy5Qk0csbNQfmkTyDboUkSdNlMtkAkmcULX15zgKgORAH9H5TPaKX54lBSgby8PBg1KiVaLUt\nUx0JI0+ePTx58iBL4hKEj7Vy5Urme8+j9davjdrvHr7L1V+uc+nM5SyK7NMiSRLlXFwoGhTE6/MS\nz8hkxFStyokzZ1La/pg1C4/ffqOjRpPy9usa4Gtvz/1HjzAzM8vM0IVPiEgSZT9i/JWxBgwYzKpV\nl0hMbPZaaxRK5VLu3btN3rx5P7jvS5cuUbFiVaALUPhlayywnOSNh5sgk52kX7+iLF0qill/ibRa\nLZ17dOb4ieMUrFGQJ5cf4+TgzJ4de9JsQZ+RNBoNZ86cwdzcHFdX17fW2YqJicHPzw9LS0uqV6/+\n1vOy2rp165g9eDDusbFG7feAs0WKcP32bXx9fWnVtCnNNRqKAVrgmEKBvEwZTvn7I5PJ0Ol0TPj1\nVzwWLyZGo6G4szOTZ83C3d09C55K+NxlWk0iSZK8gRKp2pak+npoetxL+Djm5ubI5bo3HElApVJl\nejzC5ykpKYk1a9awYsMK4uLi+LrZ14z8bmSGFlSPjo5GZZ/2e9jCXk10dEyG3fdzExwczKOHD0k9\nLKksSfzv8mXCw8Oxt0+eKj5i1CiuXr7Mwh07KGJqSpRMhkalYv+hQyJBJAiC8Jrff5/Avn3ViYzc\nhVZbFJksGnPz80ycOPGjEkQAFSpUYMiQASxcuASwJ3mm+H2gAMkT/QFETvZLZm5uzq5tuwgKCuLa\ntWs4j3OmYsWKmb780MLC4r1ms1lZWdG0adNMiOjjREVFYf6GHV3VQMzLxFGtWrXYuGMHo4cOxevB\nA2QyGR3at2fewoUp//4KhYJpM2cydcYMdDodSqUyMx9DENJIl5lE6Um8yUr+hSNJEra2tune9/Pn\nz3F0dEKr7Qr8MygxYG7uyc8/d2LcuF/T/Z7Cl0WSJDp378y54HNU/bEyKlsl19cE8PzUC876ns2w\nRNG1a9eo16wu/YP6olC/WtV95MejlNWWZ9F8sZTyfQQEBFC/alUGxcUZfaQwAHNVKgLu3MHBwbig\n5K1bt/Dz88Pe3p7GjRuLBJHwTmImUfYjxl8ZLyoqimXLlrN/vw958+ZmyJBvqVWrVrr1Hx4eTuvW\nrTl79hoGQxfgn9/VOtTqVezevZ6GDRum2/0E4UsXEBBArcqVGajV8npa56hcjnPXrqxauzalTZIk\nYmJiUKlUKBSKtJ0JQibJtOVm6elLHqQEBgbSu/cA/P2Tl3OUKVOBlSsXv1cx6swNNk0AACAASURB\nVP9i69at9OrVH4PBhYQECywtgylXrjCHDx8Qs4mEj+bn54dbNzf6XOuJmfmrZMH+Pt60cGrJ7xN+\nz7B79/62N0evHKXar1WxzGtJwKab3NkazLlT5yhQIHXlnGSRkZFMnzUdrz1emJqa0qVDF0aPHI2F\nhcUbz//cGQwGCjk6Uu/JE4q81n4dCChWjCuBgaLwqfDRRJIo+/mSx1+firi4OFavXo2n5z5sba0Z\nOLAvTZoYF6vW6/W0bOmGr+914uLKAEmo1Vdwc2vCunUrxe9v4Yt17NgxfhkzhvOXL5PL1pZBw4bx\n488/f/TGJn169ODojh3U0GiwAgJMTAiwsuLMhQsZXhBcED6ESBJ9QiIjIylWrCTPn1dGkiqRXN7p\nMlZWJwkIuJLuu449evSIDRs2EBERScOGDWjSpEm2Xe8rfFom/DaBv3U+NJha36j93tH7XP35Ohf9\nLmbYvQ0GA6tXr2bpmiW8eBFFk4ZN+HH0j+TP/+ZtU6Ojo6lSowo2NawpP7AcSbok/P84j2W4JccP\nn/hiZ8QcPHiQzu7uVEpIIF9SEo9MTbmoVLLX25vatWtndXjCZ0AkibKfL3X89amIjo6matVahISA\nRuMCaFCrzzNwYE9mz55hdG5SUhK7du1i48ZtmJmZ0aPHNzRv3lwkiIR0ExERgY+PD2ZmZjRt2hRL\nS0uj45cuXWLJiiU8evKIWq61+Lbft9jZ2WVRtMkJIrcWLWik0VAciASOWFhQrU0b1m7c+FF9GwwG\nVq5cydI//+T58+c0bNKEX8aPx8nJKV1iF4T0JpJEn5A//pjDuHEb0WpbGbUrFAcZNaoB06ZNAZK3\nsRw9ejS3b9+me/fudOnSJSvCFYS3mj17NtvubKXZYuO3mze9Anmy6CnH/zoBQGhoKNNnT8f7L28s\nLS3p060PAwcMzNSt6uf8bw5r/FbTZuurnzvJILGx9mZmjJpJ+/btMy2W7ObGjRvMnzOHgGvXKFux\nIsNHjaJYsWJZHZbwmRBJouznSx1/fSomTJjIzJm7iI9vzav6QhrMzZdw4cJpXFxcPrhvg8GAt7c3\ne/cewNraih49ulGqVKl0iVv4/Mz9cy6/jvuVwvUKoY/X88g/lFXLV+HeNrma4Zp1axjx/QgqDq2A\nbVEb7u29T5hvOH7H/d46qzuj1a5alTz+/pR7rU0HLFCpuHj9OoULF37bpYLw2RFJok9Ip07d2bo1\nCqic6sgNGjWKxcdnH6tXr6Z37wEkl0PLCTzAwsKCp08fpsngC0JWefDgAWUqlqG7XxdyFk+uP5So\nTWRLw22M+3Y8vXv35vHjx1SuXhlndydKdy+F5pmGs1PPUT5fBbZv2p5psTZt3RSbXlaUdDceXJ+Z\nd5aCgc4sW7TMqD06OpoLFy5gZ2dHuXLlxFtZQfhAIkmU/Xyp469PRfHi5bh1qwpgPDvBzOwgU6a0\n5fvvv/+gfnU6HU2bfs3580HExhbH1DQBM7MrTJkygZEjR6RD5MLn5OTJk7h1caPL8U7YOifXTn18\n4Qlbm27nyvkr5MiRA0cnR7qe7Ix9KfuU646NO0H+hwXYsHpDlsRtoVQyXKcjdVGNnVZW/LRsGZ06\ndcqSuAQhK2Ta7mbCxytVqhhK5QESEozbTU2f4uJSHp1O9zJB1BioSvJbJB0azXrKlq3A3bu3Mz9o\nQXiDggUL8r/Z/2NkjZGU7OCCma0Zt7beomHtRvTo0QOA2f+bjbNbQRr/71UBTae6BVlRahVnz57F\n1dU1XWOSJInTp08TFBREiRIlqFatGjKZDDsbO2KeRKU5X/tESw7bHEZtM6dNY/KkSeRVKIjS68nl\n4IDX3r0UL148XWMVBEEQhNRMTEyApDTtcnnSR83A9fDw4OzZB2i1PQAT9HrQ6yvxyy/jcXNrI2qq\nCEYWLV9ElTGVUxJEAPkq5aV0l5KsWrOKShUqkb+Ko1GCCKDykIosc1mZ2eGmyGVnR+TTp7y+7YYE\nREgSV65cYeOOjZiZmtG1Q1fatGkjSnAIXzzxE5BN9O/fD1PTm8BNkn9tAQSjUFziu++G8NNPP5G8\npek/CSIABdCCe/ceZH7AgvAv+vbuy/VL1+lQtCONzZuwe9MeNq7Z+HKQC96HvXH5xnj2jqnKlKLt\niuLj45OusTx79oxqdarh3tOdBYfn49bdjep1qxMREcG3vb7lwpyLxIXHpZz/PPg5V1dep1f3Xilt\n27ZtY+7kyfTVaukaFcXAuDgK3b5N43r1SExMTNd4BUEQBCG1Pn26Ym5+nuS9Jv8RhUwWQNu2bf/1\n2n+Wk02ePJnVq1cT+3JrboDly9ej1VYBTF67whaDoRQ7duxIz0cQPgNPwp5gW8gmTbtVYSuehD1B\nJpNhSEo7I9GQJGXp7Oshw4dzxMKCf97FS4C/TMZzfSKbj22CryXiG2gYPvE7uvfpjphVKXzpxEyi\nLKTRaJg0aQorV65Fq9VQpUolAgN9iY09AphgYSFn3bqtFC9enDt37gA5gNS/YHMAeqOWx48fM3fu\nfI4c8aVgQUdGjhyarlusCsL7KFCgAGPGjHnjMWtra+LC4tK0J4TFY+1kna5x9B7QGzNXE/rN7o1M\nLkMySBwe+Td9B/Vl59ad9OvWnz9LzqdE2xIkJRgI2hPEzOkzKVmyZEoff0ydSj2Nhn/em8mBqpJE\nUFwcBw4coHXr1innhoaGEhoaSokSJbCyskrXZxEEQRC+TEOHDmH79l3cuLGe2NgSyOValMrLTJw4\nHmdn57de9+LFC+rWbczdu8/QaApiYfGCESPG4OPjTZUqVdDpdEDaTRqSkkxeHhOEV+rVqMe+3Xsp\n3upVjUJJkri3+z49+/WmYcOGPOn9hCeXnpK3Qp6Uc/zn+uPe3j0rQgZgzA8/EHTzJgu3bqWQmRmR\ngF6hIEdhNd8c64TcJHneRNmuZVhTaT1HjhyhYcOG/96pIHzGRE2iLGIwGKhduwEXLz4nPr4WYI5c\nfgVLy0ts27aR3LlzU7Zs2ZSZF15eXri7dwLGAMrXerqKTLYfg0EDwK1bt3B1rYVGUxSdrjAyWSTm\n5meZNWsSgwcPyuzHFIQ3WrlyJZOWTqLT4fYo1AoAnlx6yuaGW7l98za5c+dOl/uEh4dTuHhhhoQM\nTLkPQEJMAgsLePAg+AE5cuQgODiYffv2YWZmRps2bciXL59RPw729nR49owcqfo/qFLRZdYshg4d\nyvPnz+nxzTccO3aMHAoFkYmJDB02jMnTpolpy4KQiqhJlP18KeOvT5ler2fXrl3s3r0fW1sbevfu\nQYUKFf71mj59vmXDhkvodC2ARCAeeEC+fGcJCbnLxImTmDFjFwkJrxfEjsfcfCmnTx+hXLlyb+1b\n+PKEh4dTvkp5ivUoSsUB5UnU6jk76xzx/vH4+51HqVSyddtWvh38LeX6lsGmmA339twn9kYcfsf9\nyJs3b5bGf//+fc6dO0eePHmY+sdUVB2VlO1S2uicUzP8KBFakoXzFmZRlIKQsUTh6mzMx8eHtm17\nExvbh9dX/ZmaHqZfv3IsXrwgzTXW1rmIiVEBLUguXB0E7GXQoL4sWrQIgJYt23LgQCyS9Po21RGY\nm6/i8eMQbGzSThEVhMxmMBjo/W1v9nrvpbh7MRIiEri1/zarlq+ifbv/tqOYwWDg4cOHqNVqcuXK\nZXQsMDCQei3q8e2dvmmu83BeximfUxQtWvSd92jZpAlyHx+qvH5fYJlazZYDB6hTpw5N6tcn1s+P\nhjodCiAa8LSwYOhvvzH6AwuKCsLnSiSJsp8vZfz1JZEkCXNzSxIS+gG+wDWSFxGYoFSa8vffeyhd\nujRVqtTg0SMztNqSgBa1+jzdurnh4ZF2LCoIDx48YOxvY9mzew9mCjM6dezEpAmTjLa4DwoKYtnK\nZTx68oja1WrTo3uPbLfJTqv2rZC3llG+R1mj9pOTfSkbWZ52bu2YOXMmiYmJDBw48J3LOgXhUyGS\nRNnYxIkT+e23w0CjVEceUqzYGYKCrhq1xsbGsn//fkaNGs2jR2GAHrlcxaBBvVmw4NUfcaXSHJ3u\nO5LrF71ibb2FdeumGy2LEYSsdvnyZf766y+srKxo165dmiTPu+zatYvvxnxHTFwMOo2OGrVqsGrJ\nKvLnzw9AYmIi+Qrmo93BtuQp92p20uOLT9jdai+P7j0yKvgZGhrKxHHj2Lt7N0qFgi49e/Lz2LFc\nvXqVrxo1oplGQwkgDjimVKIoV46TZ85w69YtqleowFCt1qiqw2Ngd65chIaHf/g/kiB8hkSSKPv5\nUsZfn5vAwECGDx/D4cOHMDU1o0OHjsyZM5NcuXJhMBgwMzPDYChO8pKy5iTvkPsY2MSYMQOYNWsm\nMTExLF++gu3b92Bra82AAb1p1aqV2MFT+Kxt3ryZn+f8xDcnOmGqTB4Lxr+IZ3XFdbg4FOP0qVOU\nJfkn5zJQskwZ/C9f/ixmhycmJiKXy1NWrAhfFpEkysYWLlzI99+vRKtNnbS5Sq1azzl58nBKy9q1\n6xg0aCimpo6ARFLSY1atWkaHDh3S9GthYY1W2w8wnjFkbb2BrVv/pFmzZun/MIKQBU6dOkVL95a0\n2twSp3oF0cfrOTPrLA82hRBwJQAzs+QaC0uWLWH89PE0mFeP/NUdCfF7xN/DjzJl7BT69+2f0t+z\nZ8+oULo0hSIjKa/XkwicUakwL1WKv44dY/ny5SyeO5e7ISGYmZryTefOzJk/H2tra7y9vRnduTMd\no4x3SpOASTIZCTrdR+0+8z70ej1JSUkolcp3nywIWUwkibKfL2X89TkJCQmhTJmKREdXQpIqATrM\nzPwoUOA5N25cQqlUUqGCK5cvXwdGYVyKNJgCBU7x4MGtrAleELJYUlISHbt25OyNs5Ts7YIhIYmr\ny65TuVRl/t57gMG8+jSlBTyAERMm8Ntvv2VZzB/L39+fUUOGcMrfHzMTE9q1bcvchQv/80ta4dP2\nPmOwTz8V+onq3Lkzcvkd4P5rrXGo1X6MGjUkpeXKlSsMGjQcjaYb0dGdiI7uTFxcZ3r27E9gYCBa\nrRaD4dVOFx07dsTMzI9XO6Tx8h4R1K9fP2MfShAy0fQ506n5W3Wc6zshk8kwMzej9vhakBPWrVvH\ngCEDcHB2YNqsadSpVIeA3wNZVmIlt6bdwWO2h1GCCGDB/Pk4REXRWK/HHnAA2sTH8+jGDfLa2/Pn\nhAnERUSQO2dODhw6xPLVq7G2Ti6yXbJkSUISEkhd4vMBUDBfvgxNED19+pTO7dphaWGBpYUFdapV\n48KFCxl2P0EQBCF7mDt3PlptcSSpJqACrElMbEpYmISnpycA3bp1BOxJu1eNEyEhwWIXJ+GLZWJi\nwraN21g6YykFg5woHurC9tXbiQh9SlWMX7ebA3WAVR4eWRNsOggKCqJJgwbYnT3LzwYDwxITCfby\nol6NGmKnXiENkSTKIjlz5sTTcyuWll5YWW3B0nI3KtViBg/uYbTmdeFCDxISKgKvF/LNR0JCPqpU\nqYWVlQ3W1jno27c/fn5+TJs2iYIFo7C03AycQqk8gIWFJ1u2bBAzDITPSsDNAPLXzJ+mPW/N3Iwc\nPZLrFldxO9iaJlsaccskCJVSRcTTCM6fOo+7e9odNnwOHKB4QoJRmxwoER9Pkfh4ekRH0y82lrph\nYbi1bEn4a0vInJycaNa8OXtVKmJetj0GvC0sGDdpUjo+tbGEhATqVK9O6O7dDE9M5CeDgRxnz9K4\nXr2XOyIKgiAIn6ujR0+h0xVO1SojNtaJkyf9AGjevDkqVTSQlOq8UPLmzS+WlAlfNLlczldffcXy\nxctZNH8RderUIS4uLlXRjmQWQIJWm9khppvZ06dTUaulEskpYzXQNDER3dOn7NmzJ4ujE7IbkSTK\nQk2bNuXp00esXj2ZhQuHc/v2TWbOnGb0B/vevRCSkuxSXXkNgyGU2NivSUrqS1ycgpUrN1G3bhtK\nlizHr7/+wJIl4xk4sBgTJrhx69YNmjdvnrkPJwgZrHix4oSeCU3THnLiEfaVctJwVgNylchJvop5\nab3xa8J0Yf/6R9A+d26i39AeBfwzCVcGlACKJCWxdu1aACIjI1myZAllKlakSJMmLFGp+J9Kxc4c\nORg3axZ9+vT52Ed9K09PT+TPntFIr8eC5D/6lYBy8fH8MXNmht1XEARByHoFCzoik0WkaVepXlCw\nYPJLlDJlylCxYlkUCh9Ime/6AguLv/jllx8yL1jhs6DX69m+fTvd+nSj36B+HDt27LObjdamXTsu\nYpxWlYALQK1GqWvJfjrO+vlRKMk4WSwD8sfEcN7fP2uCErKtjC2SIbyThYXFG2c1/KNRozqcOLEF\nrfb1yvvHATeSF8QsILn4dTn0ejlRUY8ZMmQ0hw7tpkuXLhkauyC8SWRkJEuXL+XE6RM45HVgYN+B\nVK5cOd3v8+PIH3Hr7IZ9WXvyV3ckSZfE2bn+PAuMoOXqr4zOlcllFGlXiKMnjr51d4oBw4bR69gx\nSsTF8c/+G0+Bq8DAVOfm0Gq5d+cOBw8epKO7O0UAdUICt1UqataowdJVycWz06MgoE6nIzQ0lFy5\ncqXZGeT8uXPkj41Nc42zXo+/n1/K10+fPmXB/PmcPHIExwIFGDx8ODVr1vzo2ARBEISsM2rUMA4e\ndEOjKUryrrcA95DLA+nRo3vKeXv3evHNNz04fvxPFAo79PoXjBkzmiFDBmdJ3MKnISIigqXLl3Lq\nnC8FHArSt2dffhr3I3ci71Cylwu62EQ69e1IF/euzJk5J6vDTTcTJkxg2YIFrIuOpjbJH5bPAo/N\nzDjxcjfpT5GTszPhN29SMFX7CwsLCjo5ZUlMQvYlZhJlE0lJSezcuZMuXXrSs2df/v77byRJon//\nflhZPUEuPwLEAi+AcKAQcB1wBCrw6n9lPrTaGsyY8fn8shY+HQ8fPqRc5XJsu7YV82+U3C1whyZf\nN2H5yuXpfq+6deuyeO5ivDsdYmmRFfzpsIiEQzpq1qxJ3NO4NOfHPdSQK+fbC/M1b96cASNG4KFS\nsUetxsvSkpUmJjjL5dimOjfE0pIy5cvTqV072ms0tNFoaJyURP+4OB6ePs2G9es/OkEkSRKzZ84k\nX65cVC1Thnz29vTr1Qvta1OdnQoV4rlF2knRYTIZToWTlyAEBwdTrlQp/vrjD1R+fhzdupWGtWpR\nME8eli5d+tm9ARQEQfhS1K5dm9mzJ2Nuvhpr6y1YW6/DxmYvu3ZtJ1++fCnn5ciRg4MH9xIcHMjR\nozsJCwtl4sTxYqmZ8Fb379+nbKWy7LixDUUHM27a36BOgzrciblDl5OdqTywEjXGVKP7ua6s3bQW\n/89oJopCoeD2w4dUdHNjr1KJp5kZeevX52ZwMHnz5s3q8D7YiB9+wM/Cgmcvv5aAG8ADU1M6d+6c\nhZEJ2ZHY3Swb0Ov1tGzphq/vNeLiSgN6zMz8USplODg40L59a27cCOLAgX3IZDKSkiQSE3uRPMfB\nBKifqseHuLj4ExBwKZOfRPjSdevdjYeO96k3uW5K27PACNZV38Cj+49SCj2np6SkJG7duoWVlRWO\njo4cPHiQnkN60MW3M5Z5kmfePL0axqb6W7hy/grOzs7/2l9ISAje3t6oVCrKlStHg9q1qRkTQwUg\nEThtYsL9vHmZOHUqs4YOpX1MjNH1D4HjBQsSdP/+m7p/bwv+/JMZP/1EG40GeyAOOKRSUeKrr9jy\nsiBpZGQkRZ2daRoTgwvJ04bDgM0WFuw+dIhatWrRoU0bnu/dSxGDgfUkF14sATwHTlhY8HWPHvy5\nePFHxSoI/5XY3Sz7+RLHX5+L6OhoTpw4gVKppG7duigUiqwOSfjEte/SngiXZ9QZXyulbU3ddbgO\nr0rJdi5G5x799Tg1DbWYPnV6ZoeZKQIDA/l59Gj++vtvVEol3bp35/cpU7Cyssrq0P4zj8WL+XHM\nGPKYmqKVJOSWlmzbuRNXV9esDk3IRO8zBhNJomxgw4YNDBgwjri4rrxaARhP8maL1TE3f0DFivas\nXLkEhULBmjXrmDVrPRpNSeAK0MuoPxOTk3Tq5MCGDWsy8zEEAZsc1vS51gsrB+M/nDu+2snkbye/\ndalXeps4eSKz58ym2FfFSNLoCT56l2VLltG5439/U3Lp0iWGDxqE37lzyGQyWjZvzp8eHuzfv59l\nI0bQUqMxOj8C2JYjB48j0taJeF+SJFEgTx5ahIfj+Fq7DvhTpeJaYCAFCyZPGD59+jSd3N0xxMai\nlMmIMBiYM38+vXv3BkCtUjEkIYFdQDGg6mv9aYFFKhXXg4IoUKDAB8crCP+VSBJlP1/i+EsQhDcz\nV5sz5MFALHK+mq28sflmKg2oiEvbEkbnHht/guqJNZgxbUZmh5nh7t+/T5Xy5akYHU15SSIB8FUq\nMXFxwe/8+XQpK5DZ4uLiOHPmDBYWFri6uiKXi4VFX5r3GYOJ74psYPXqjcTFVcC4RJSK5BK0L9Bq\nq+Lnd5by5atTunRlNmzYSrNm5VAqDyOTPQV8gATAAFxHqTzHzz9/n/kPImRbT58+5c6dOxgMhgy9\nj0wux6BPew+D3pCpf4Qm/DqBm1dvMqThEH5o/yMh90I+KEEEUKFCBY75+REdG0usRoPnnj04OjrS\nsGFDAg0G4lOdf00up0mzZh8Vf3x8PGGRkUYJIgAF4KhUEhQUlNJWvXp17oaEsMPHhxW7dxMaFpaS\nIAIwMzVFD9wHSqXqzxwoYmbGyZMnU9ru3r1Lv169KJw/P5XLlGHJkiUZ/n0jCIIgCEL2IZfLkJKM\nk8Yl2hbn9JyzGJKSxwSSJBG4Owj/BecJDw/nxo0bWRFqhpo9YwYlNRpqSRKWJFf++johgfA7d/D2\n9s7q8D6IWq2mYcOGVK9eXSSIhLcS3xnZgMEgkbxQJDUZyTOKtiFJbUhIGI5WO4zbt0vg43OE8+fP\nsHnzaurUUWBm9j/MzGZRqtQtvL33UKZMmcx9CCFbevDgAQ2aNaBoyaJUb1ANp2JOeHp5Ztj93Nu5\nc26O8br0J5eeEnohlMaNG2fYfd/E0dGRvn370rVrV2xsbD66P5VKhZmZWcrXRYoUoUevXmxUqwkA\nHgF/m5pyzdqa3yZP/uh75bCx4Umq9kQgNCGBokWLGrXL5XJcXV2pV68e5ubmRsfat2+Pn5kZ5oDx\nwrhkMUDOnMkFT4ODg3GtWJHb69fT/NEjSl2/zoxRo+jXq9dHPY8gCIIgCJ+ONu5unP2f8Xgud9nc\nhF8NZ3P9rVxYdpEVrqs5+N1fuI6qQlCOQGo2qMns/83OoogzxsmjRymamGjUJgecY2M55eubNUEJ\nQiYQy82ygTVr1jBkyCTi4rqQXGMIkheWeAD5AFugidE1KtV+fv21DWPH/gKARqNBp9Nha5u6xK7w\npdLpdLiUdaFQT2eqja6KicKEhycfsrvjPvZs30OtWrXe3cl7OH/+PIcOHcLS0pIGDRrQtmNblEUU\nOLdyIup2FFdXXWfpoqV07NAxXe6XnUiSxIYNG1g8dy6RkZHUb9yYn8aOxSkddomYPXMmCyZOpK1G\ngy3J6eK/lEocGjRg94ED/2fvvuNruv84jr9Odm4kIVaQCBJ7r9iktYKgau/darVqVdufUhSltato\nVZXYe9SolaBWiNEiRowIIURE5Gbfe35/RFMRI2Tcm+TzfDz6KN97zve8z+9X1zefc77fb5r7CQsL\no2GdOoQHB2OXkEB3/ntn8SJwuGBBboWEYGZmRt+ePQles4Ymz7w5FAcstLbmqL8/5cuXT/d9CQEy\n3cwY5cbxl7EJCAhg1qx5nD8fQPXqlRk58rNUDwWEyAohISHUa1wP+6r2uLRyJuJKRPJ4TpeoY+bc\nmdzT3aPPXz0xs0waVUTejuT3Gt6cPHKS0qVLG/gOMkarpk2xOnCAas+1b7e2pu/06Xz66acGySVE\nesiaRNlEQkICzZu34dSpa2i1lYBE4CTgTNJytVVJPVHEn65d7VmzxjuL04rsYuPGjXw170u6HUxZ\nnPFfdBrTfeZs27AtXf3r9Xr6DOzDnwf+pEwnN+LC47my9SqzZsxCr9Nz+PhhijkWY2C/gTlmsJCV\nVFVl4vjxzJ41C1tTUx4nJODVpg2/LF36xoslxsbGsnr1aqaMH8+D0FDKmZoSaW5OuJkZO/fupWbN\nmgA4FSpEhwcPeH4PuJ3W1vT54QeGDh2aQXcncjspEhmf3Dj+MiZ79+7lvfe6EBdXHZ2uKGZmd7C0\nPMvu3dtp2LChoeOJXOjJkycs917OEb8jOBd1ZvCAwclFS4+WTSj4YQHKv59yEet9Iw7QukAbvh77\ntSEiZ7gdO3YwsGtXemq1/Lv1yg1gi40NgTdvUqDAy3fNTavo6GguXLiAg4MDrq6u6e5PiNdJyxjM\n7FUfiqxhbm7Ovn072bhxI6tWbeDixUBu3dKiqubo9ZHodDd5vkhkbX2X6tVl0CBe7vLlyxSuXyhV\ne7F6xTi44FC6+1+2bBlHAo4wKKA/5pqkaVi1LtRkZKORXDp/iQ8Gf5Dua2QH//zzDwt//JGg69ep\n16QJHw4ZQsGCBdPdr6IoTPj2W8Z89RU3btzA0dExeVrYm7KysqJ///7079+fs2fPcuzYMQoXLkyb\nNm2wtLRMPs7O1paoFxSJYkxN5S1FIYTIJHq9nn79BhMd7QUk/RCemFiaxMRC9O8/hCtX/pHt6kWW\ns7W1ZejHQxn6ceoHRLFxcVjYpN5Fz8zGlJjYmKyIlyXatGnDsC+/ZOrkybhaWBCrKIQBGzdtypAC\n0dzZs/lm3DjympoSmZBAmXLlWLt5c4a8kS5EesibREbq8uXL7NixA61Wy7RpM4mObk5SoUgFzmJv\nf4zAwIAM+YISOdPGjRv56sev6ObbOUX76Z/PYLLXLN1vEjVo2gCnYUUp275MivZdg/6kZ6VefPbZ\nZ+zZs4cl3kuIiIygTbM2DBwwkDx58qTrusZkzZo1fDRwIDXi4siv03HTdnzsqQAAIABJREFUyopb\nNjYcOXEiWz4Nmj1rFgvHjaNLdDT/rr4UBGyysSH47t1sud2rME7yJpHxkfFXxtPr9Tx+/BhbW1vM\nzF7+XPby5cvUrNkQrXYoKdeo1GNlNYfAwIsUK/b8VgZCGM6076ex+tQq2q31Si5gxmvjWVp5GdtW\nb6dOnToGTpixHjx4gK+vLxqNhmbNmqV4wPa2Nm3axMe9e9MlOpr8gA44bmrKTScnAq5dy5Y7p4ns\nQXY3y8bKli3LyJEjGTduHPv376ZMmUtYWc3B0nI2lSvf5dCh/VIgEq/Utm1bEkISOPrdMRLjElFV\nlVuHb3F0wnG+GPFFuvt/8uQJmgLWqdot81vw5MkTvvz6S/p92hdtwyfY97Vlie+v1K5fm4iIiHRf\n2xjExMTw0eDBdI2OprFOR0WgTWwslR89YmQ2naP+6bBhVG3enJ81Gv60sGCzjQ2bbGxYv3mzFIiE\nECKNVFVl9uy5FCxYFEdHZxwcCjF27Hh0Ot0Lj7ewsECv15H0IPBZelRVn2LTBCGMwdCPhqIP1LOl\n4zaubL/KPyvPs7rxOlq+44m7u7uh42W4ggULUq1aNVauW4mLmwulK5Vm+g/TSXhuUes3MX3SJDye\nFoggaVXaBjodieHh7Nu3L0NyC/G25E0iI3fnzh1WrVpFWNhDqlatQpMmTeRpkkizoKAg+g7ui/8p\nf6xsrbAytWTOjLl0fL/jG/WjqioHDhzA398fJycnOnTowIRvJ+ATfgDPRS2Sj0uMTWRJxd+ZN3Ue\nHw77kEEX+6PJr0nuY0e/XbQp6cW3E77N0Ps0hH379vFxx470jIxM0R4LzDQ1JS4hIdtOD/D39+fg\nwYPky5eP999/P0N2hxPiWfImkfGR8VfGmTlzFuPHz346fcwReIhGs5v+/Vszf/6cVMerqkr58lW5\nfNkVnlkiV1H8qFkzgpMnZRclYXyioqL4ZfEvbNm1BRuNDf2696Nz5845clv1a9euUaeBO1WHVaFC\nt/JoQ7UcnXCccnbl2LJ+61v16ejgQPdHj3h+Mv9ua2v6zprFkCFD0h9ciBeQhauzuQ0bNtCnz0D0\n+nLExWnIk+caVaq4sn//LqysrAwdT2Qj9+7dIyoqilKlSr3xX96RkZG08GrBnYg7FG/hTMTFCMLO\nhbHaew39BvejSEtHKvapQMzDGE5OO0V15xrUqVGHDTfW0+KnlNveBx+9zYmhJ7l45mJG3p5BHDhw\ngA86dKD3c0WiaGCOmRmx8fHZtkgkRGaTIpHxkfFXxkhMTKRgwSJERHQGCj/zSRRWVou4ezf4hWu8\nnTt3jiZNmpGQUJzo6EJoNPewsrrLkSO+lCtXLtXxQoisM+DDAVx3DKTxxEbJbbp4HYvL/saOdTuo\nXbv2G/f5bsOG5D1yhKrPtKnA4jx5WLtrlyxYLzKNTDfLxiIiIujTZwAxMd2Ji2sNeBAV1Z/Tpx/w\nww8zDB1PZDOOjo64ubm91dOdMf8bQ6JbAv3O9qbpjHfouLMDDWbUZ+CQgfgd8aMa1Tk08DCB311n\ndK/PWeO9BgsLC3RxqV+r18UlZtvX5lVVZfv27XTu2Rmvjl5cvnyZR0Dwc8edMDXlvbZtpUAkhBC5\nUFhYGLGxCaQsEAHkwdKyAIGBgS88r2rVqly/fpkpU3ozcKAL06cP5Pr1y1IgEtnCo0ePmDR5Eu6N\n3XnH04Ply5ej1+sNHSvD+B7ypWynsinaTC1McW1bisOHD79Vn+MnT+agRsM1kopD0cBuCwucSpem\nQYMG6c4sRHpIkSgLhIWFMWjQEOztC2Bn50DPnv24c+fOK8/Ztm0bpqalgCLPtJoQG1uXX39dnql5\nhfiXqqp4L/em4bcNUEz+K3pU7FaBePN4WrRuwdqNa0kwTyTwciCx8bGYmprSoUMHLm++QkTQ4+Rz\n9Do9/rPP0KNzD0PcSrqoqsoHQz/go6+GENNEi0UnM+ZumkMBJ0fWW1uz18ICf2CzjQ3XCxZk5rx5\nho4shBAAKIrSSVGU84qi6BRFqWHoPDldvnz5MDHRA4+f+ySOuLgwnJycXnqug4MDw4cP59dfF/HJ\nJ5/IVF+RLTx69Aj3Bu5subyZMuPdyD/IgW9+Gk/vAb3JKW8n5s/vQGRwZKp2bbD2rXee9fDw4LdV\nqzjq7MxMS0t+tLCgVLt27N6/Xx40CoN7+VYLIkNER0fj7t6A27cdSEjoCZiwdq0/+/fXJSDgb/Ll\ny/fS83S61FtLghWxOWhrSWHc9Ho9sdrYVAtUK4oCGjCpqDD0xBBMzU0JuxzGpKaTOHzwMHXr1GXk\n8JHMrTOXygMqYl3ImqtrrlFMU5Rhnwwz0N28vRMnTrB111b6/90HS9ukHS0qdq3AxrabGdF5DPGx\nsdy6cYPBjRvTp08fWeRZCGFM/gE6AD8bOkhuYGlpyaBBg1i8eDcxMe0AayAeS8u9tGjhiaOjo6Ej\nCgFAeHg4ERERuLi4pGsnrXnz52FX25Y2y1olt5Vu7cZvlX7n5MmTOWIh6yEDPuLbCd9SvKEzlnZJ\n48CbvkHcOhxMh2Ud3rrf9u3b065dOx4+fIiNjQ3W1qk3hBHCEORNoky2evVq7t83JyHBE3AA8qLT\nNSUyshCLF//60vNatGiBql4m6eXD/5iZnaNt2zaZmlmIf5mamlK3SV0urEm5htDjW4+5f+E+zWc3\nxdTcFF2CjgNf+qJYw/1yoWy4tp5Zc2YxZvgY6ujr4XKlJDO/mInPHt80/wUYExPD5199TsGiBbHS\nWNG8TXP8/f0z4zZfa8u2LZTvXTa5QASgmChU/rASB47sZ+q0aaxYu5ahQ4dKgUgIYVRUVb2squpV\nUu6tLjLRjBnT6dq1AVZWP2Fv742V1XyaNXNmxYrfDB1NCB48eEC7Tu1wLulMHY86OJV0Ypn3srfu\nb9vubVTsVz5Fm7nGnNJdS7Nz1870xjUK/fv1x9Pdk5/dfmVXvz/Z4LmZ7Z13sGndJuzs7NLVt6Io\nFChQQApEwqjIm0SZbN++g2i1JVO1x8SUYs8eX8aM+fyF55UqVYohQz5g8eKVaLXugB0WFpexswti\n4sQ1mZxaZCd6vZ69e/dy9NhRChcqTLdu3XBwcMiw/mdOnYlnW09iHsRQsmVJwi6Gceh/hylatQjW\n+ZL+Qju1wJ/4qHiGXPwAU/Okp1E1hlVjaoOpBF4KpHDh59dmeDVVVfF634sHee7T2acjeRxtuLg2\ngKaeTfnL5y8qVaqUYfeXFmZmZugTUr8yrU/QY2YmX6NCCCH+Y25uztKli5k+fQpXr17FxcXlldPM\nhMgKkZGR+Pj4MOqLURRskZ9P73yMRR4L7viFMLrzaArmL0jr1q3fuF9ra2tiH8elak94nIAmnyYj\nohuciYkJi+YvYvTw0fj4+GBvb4/XJi80mpxxf0I8T94kymROTkUwN089h9XEJAInpyIvOOM/s2Z9\nj7f3j3h4aKlU6QLDh3tw/vwZihUrlllxRTYTFRVFw3cbMviLwfjo9vPrkcWUKlOK/fv3Z9g16tat\ny+EDh3H4uwD7u/nw8LdHjBo8moRHiaj6pMLJhdUXafBlveQCEUDBCgUp41WaTZs2vfE1jx07xoXA\nC7Rb7UWBsvmxsreixgfVqT2mFt9O/zb5uKCgIAZ8OIBiJYtRpnIZvpv+HXFxqQcq6dWlUxcuLLuI\n9oE2uU2XoOPM3HP07NTrleeGhYXh7e3NsmXLuH//foZnE0IIRVH2Kory9zP//PP0323fpJ8JEyYk\n/+Pr65tJaXOPQoUK0aBBAykQCYNbvGQxTiWc+Hzu52g1Ufy95jw3fYMAKOZelCYzGzH5h8lv1feA\nHgPwn3GGxNjE5LZH1x8RsPYSXbp0yZD8xsLNzY3BgwfTpUsXKRCJbMPX1zfF3+9poRjbgmI5bQvW\nK1euUK2aOzEx3YF/56E/RKNZwcGDe6hVq5Yh44ls7vMvP2fvrT20XdEmeWHpm75B7Oi6iztBd7Cy\nssqU66qqSn2P+ugr6Gg8pSHLPVbQ9jcvitZKWfjc++l+OpXozKhRo96o/9mzZ7P+xlqazWuaov1B\nQBg72+8m6EoQt2/fpmbdmpTrV4aKvSsSGx7DsW/9cDF1Yde2XRm+6N/XE75m0ZJFVP6gEuZ5zLm0\n/DKVildk64ZtL92xbfEvvzDys89wMzNDAa4mJjLlu+8YNnx4hmYTIrtJy/arImMpiuIDjFJV9fRL\nPs9R4y8hRJITJ07Q+v3WdPPpTP4ySYss3zlxh9Vt1jH49ADsi9sTeecJK2qtIuxu2Bv3r9Pp6Na7\nG4dPHqZMt9IkRMRzcfUlpk+dzpAPhmT07Qgh0iktYzB5kyiTlSlThl9/XYhGsxI7u/XY2m7Eymop\nM2ZMlQKRSDfvld7UG1c3xc5jJTxcKFChAHv37s206yqKwq6tu3CNdmNBiZ+JvPmEM7+cSXFMXGQc\nlzdewdPT8437L1KkCI+vpn4DL/xqePKinz/M/gG3rq40mdyYAmXz41TPife3tufvq3+/9XakrzJ5\nwmR2btxJ5UdVKH7FhQXfLmD7pj9eWiD6559/GDN8OP1jY3kvKor2UVEMio1l4tix+Pn5ZXg+IYRI\nAynMZUM7duygXj0PHB1daN68DUePHjV0JJGNLFi8gJojayQXiACK1SlGpR4VObfsHwBC/EJwK+P2\nVv2bmpqybuU6NizdQCMa07Zoe86ePCsFIiGyMVlMIwv06NGdtm292LNnD3q9nmbNmr10VzMh3kSM\nNhrrfKnfFrLKZ4VWq33BGRknb968/DjrR1o1a0V4eDgz581k1+A/Kd+jLNr70Zyc5k+X97tQsWLF\nN+67ffv2DBs5jIBNlyj/fjkAtA+0HB13nGljpgGw/+B+3OenLLSamptSqkNJDh48SOPGjdN/k89x\nd3dP8y4dvy1eTLX4eJ7dGDUvUDM2lsULF+aI3T6EEMZPUZT3gB+BAsAfiqKcVVW11WtOE0Zi4cJF\njB49nujoxkBlQkNvcvSoF+vXr3ir9WNE7nP77m0KtEu9VqVD6XyEBTzk3rlQfEce4te5L99Q50VU\nVcXf35+IiAhq165Nw4YNadiwYUbFFkIYkBSJsoitrS0dO3Y0dAyRwzRr2Zx/lp+n3pi6yW1RoVFc\n97nOOwvfydRrz/lxDuPGj6Nk4xIkxiYS8SiCOk/qcHHcZezt7Pn+i+/p2rXrW/VtbW3Nzm07ad+p\nPae+O00eRxtu/hXEJ598Qo8ePQBwyOfAkztPUp0bczsGh7oZt3D32wq9exdbnS5Vu61ez/179wyQ\nSAiRG6mqugXYYugc4s3FxsYyZsz/iI7uDhR62lqA6Gh7hg4dwfXrrTJ8arXIeRrVacSuHTso265M\nivaL6wJ4fDmSoC23mPrtVNq1a5fmPi9cuECHrh2ISniCraMtIX/fZez/xvLl519mdHwhhAFIkUiI\nbGzqhKk0aFKf2PA43Nq58uh6BH6T/Rg1ctQb7yj2Jg4fPszkHybT/2xf8rrYA3DX/y7rWm7kb/+/\ncXFxSVf/qqoSHh5OkyaNCQq6RXWX6uz4aQzFixdPPmZI/yF8OflLSjYtgVXepLep7viFcHVHIF1m\nZd1CiZGRkZw7d44CBQpQvvx/W8A29fRk1q5d1NBqU8zvCNRoGPAWU/CEEELkLufPn8fExI7/CkT/\nciUkZAsPHz6kQIEChogmspGPh3zMwhoL+WvKUWp8WI3EOB1+P/hh/sCCg3sOUrFixZdOnX+RuLg4\nmrVqhvukWlTpWxlFUXh86zHzWsyldKnS8lBciBxA1iQSIhsrW7Ysp477UyWmKv7DzxC9NoZF3//M\nhHETMvW6C35dQK3RNZMLRABFahahYo/y/L7893T3P+LzEfT9tC+PaodTcGB+9l7aS6cenYiOjk4+\npnv37rz3znv8XPpXdg34k83tt7HecyOrlq+iYMGC6c7wOqqqMmXaFJxKONF/TD8at2xErfq1uHnz\nJkDSG09FirDDwoJQ4AGwy9wcbYECDBgwINPzCSGEyN7s7e1JTHwC6J/7JA7QY21tbYBUIrspVKgQ\nxw4dI//FAiwo8TO/VfqdcjEVOH74ONWqVXujAhHA9u3bsS9jT9V+VZLfZLMvbk+DKfWZ9dOszLgF\noxMREcHly5eJiYkxdBQhMoW8SSRENleiRAl+mvtTll7z3v17FC6VuhBjW8qWe9fSN5Xq7NmzeK/x\nZuD5fslvCFXuWYlN7bew6OdFjBwxEkhaPHverHkM+3gY+/btw9bWlrbebbGzs0vX9dNqxcoVLFix\ngP7n+mLvbIdep8dv9ilatGnBpX8uYW1tzV9+fnw7YQLrVq9GVVU6dOrEN5MmYWtrmyUZhRBCZF+l\nS5fGza0U58/7odf/O61cxdz8MK1be2FjY2PQfCL7KFWqFOtXrs+QvoKDg3GomHpt1YKVCuIXfDJD\nrmGsoqOj+WjQIDZu2oStuTkxqsqozz/n6/HjZeqnyFHkTSIhxBtrUq8J17fdSNGmqio3tgbRqF6j\ndPW9ZesWyvcsl1wgAlBMFKp+XIV1W9elOt7NzY0hQ4bQs2fPLCsQAcyYN4MmMxph75x0TRNTE+qM\nqk28VTwHDhwAIF++fMyaO5fb9+9z58ED5i9cmCVvOQkhhMgZNm1ag6NjALa2K7Gw2EOePEtxc9Oy\nePECQ0cTuVSNGjW4te8Wql5N0X5jzw1q1KhpoFRZo2/37vy9eTND4+IYEhVFP62WJd9/z8wZMwwd\nTYgMJUUiIcQbG/rRUIJ33+bg+MNE3o7k4dVwdn+4B8vHFumei25iYoKqU1O163V6TEyM5yvrdlAw\nhaumXPdJURQKVilAUFCQgVIJIYTISVxdXbl58yre3j8wbVonNm36lfPnT8taRMJgGjduTPGCLuwa\nuJsnIU/QJeg4v+YCx789wbgvxhk6XqYJDg7mzz17aB0bi+ZpWz6gVXQ0M6ZNQ1VTj12FyK6M5ycu\nIUS2UbBgQY4fPk7x2y78Xs2bdU02UEdTl0P7D2NpaZmuvju+35GLKwLQPtAmt+l1es7OO0ePjj3S\nGz3DVKpamRv7b6Zo0+v0BPneokqVKoYJJYQQIscxNzenffv2jBgxgubNmxvVAxOR+yiKwu5tu6mp\nqc0v5ZYwzfoHbv8UwraN26lRo4ah42WawMBAilpaYvFcuyMQERmZYt1MIbI7xdiqnoqiqMaWSQiR\ntcZNHMfCJQupOqQyFvYWXPa+got9CXZv253uIlRG8fHxoWOPjnj+1gLXlqXQ3tdy8IvD2N2zx+dP\nH0PHE8KoKYqCqqqygIMRkfGXEOJN6fV6dDrdGy9+nR0FBwdTsUwZPo2NTVEougdsdnDgbliYrEsk\nsoW0jMGkSJRFdDodW7duZdWq9ZiZmdGnT3datWolXyZCPCMhIYFDhw4RHR2NtbU1m7dvJkr7hPat\n36Ndu3aYmRnXWvs7duxg9NjR3LhyAzNzM7r37M7s72eTJ08eQ0cTwqhJkcj45NTxlxBCZJQu773H\n1T//pMXTKWfhwBaNhs8mTmTk6NGGjidEmkiRyEjodDratHmPv/76B622MqDHxuYc7do1ZeXK36VQ\nJARw6NAhOvfoTB6nPFjZW3LLL5gJ30xg1PBRho72SqqqEhUVhZWVVa54kiZERpAikfHJieMvIYTI\nSNHR0Qz94APWb9yIrZkZscCo0aMZK7ubiWwk04tEiqLkA9YCLsBNoIuqqo9fcNxN4DGgBxJUVXV/\nRZ/ZYpASExODVqslf/78r/1SWLt2LQMHfoVW2xP4902IeGxsfmfLlmU0a9Ys0/MKYQiRkZEkJibi\n4ODwyuPCw8NxLetK6xWeuLYsBUBE0GPWvrMO70UraNGiRVbENSqqqvL3338TEhJCtWrVKFKkiKEj\nCZFhpEhkfLLL+EsIIQzt8ePH3L9/H2dnZ6ysrF5/ghBGJC1jsPSufPclsE9V1bLAAeCrlxynBzxU\nVa3+qgJRdhAREUHXrr3Il68AxYqVwMWlNFu2bHnlOd7ea9Fqq/BfgQjAAq22IqtXr8/UvEIYwrVr\n12jaqimFixbGqYQTtRrUws/P76XHr169mpItSiQXiADyutjjPrY2836elxWRjUpwcDC1qlSheYMG\njO7enTIlS/LxBx+g0+kMHU0IIYQQuURERATbt29n7969xMfHGzqO0bC3t6d06dJSIBI5VnqLRO2B\nZU9/vQx47yXHKRlwLYNTVZVmzVqxZUsgcXGfEB8/muDg+vTsOYADBw4YOp4QRiEyMpJG7zbCtJkJ\nwx98ysjwz3D6qBgtvVpy48aNF54TcjcEu7K2qdrzl83PnZA7mR3ZqKiqSltPT/IFBPCRVkuXx48Z\nGhfH3pUrmfH994aOJ4QQQohcYO78uTiXdObL+V/w0Tcf4VTCSX7eESKXSG/hppCqqqEAqqreAwq9\n5DgV2KsoyklFUQan85oGc/ToUS5dCiI+viWgIan25Up0tAfjxn370vN69+6Kjc05IPGZ1nhsbM7T\no0eXzA0tRBZbsXIFBWsXoO4od8ytzTExM6FKr0pU6leBuT/NfeE57rXdubXzNs9Pdbi+8wb1atfL\nithGw9/fn9CgIBrodMlf0NZA0+ho5s2aZchoQgghhMgFfHx8mPzDZPqd7kPHPzvQ42hXWq5ozvtd\n3ufBgwcAhIaGMv2H6Qz5ZAi/LP4FrVZr4NRCiIzy2q2CFEXZCxR+tomkos/XLzj8ZZPZG6iqeldR\nlIIkFYsCVFX962XXnDBhQvKvPTw88PDweF3MLHH+/Hn0+uKkrq2VICDgyEvP69SpE8uWreLwYW+i\noioBOmxs/uG991ry7rvvZmZkIbLcufPnKNLEMVW7k4cT534898Jz2rRpwzdTvmH3B3uoP64uVnmt\nOPf7P1xYcoFlx5dnduQslZiYSFRUFPb29i9cz+z27dsUNDVN9S1TEAgND8+SjEJkNF9fX3x9fQ0d\nQwghRBrMWzSPOv+rTb6SeZPbSr5bAjcvV1asXEHtWrVp26Etbu1dyV/FgSN//MXkaZP5y+cvihcv\nbsDkQoiM8NoikaqqzV/2maIooYqiFFZVNVRRFEfg/kv6uPv03w8URdkMuANpKhIZk5IlS2JmFvqC\nT+7i7Ozy0vNMTU3Zvn0T27dvZ/XqDZiZmdKnzxJatGghK+GLHEFVVUJDQ9FoNJQuVZrTp/1THRN6\n+j6lS5Z+4flmZmb47vHly6+/5Pdq3sRGx9LUsykH9x+iZMmSb5VJr9fj7e3NbyuXEKXV0rZlW4Z9\nMuy1i2hnlvj4eMZ++SW//PwzCQkJFHBw4JvJkxk4aFCK46pXr05QfDzxgMUz7YFA5XLlsjKyEBnm\n+Qc+EydONFwYIYQQr3Tn7h3KlUk9ZrMrY8vtkNvM7jublkubU8br6THD4PCkI3wy8hO2bdiWxWmF\nEBktvbubTQfCVVWdrijKF0A+VVW/fO4YDWCiqmqUoig2wB5goqqqe17Sp9HurqHT6XBzq0BwsAs6\nXV3AFHiIRrOeZct+pFOnToaOKESW27lzJ599/hmhoaEkxiXSsElDTvqd5N35HlToXB5FUQg6dIut\nnbbz14G/qFSpUqZnUlWVXv17cfTSUWqNqYF1PisuLg/g0bHHnDx60iCFon49e3Jy82aax8SQF7gD\nbNdomPbTT/Tr1y/Fsb27dePUtm00i4nBgaQC0W5ra5avX0+bNm2yPLsQGU12NzM+xjz+EkJkreGj\nh3NKOcm7P3gkt6mqyupG6xjcdjDzls1jwIW+KR52xz2JY06hH4mMiMTS0tIAqYUQaZGWMVh6i0QO\nwDrAGQgCuqiqGqEoShFgsaqqXoqilAQ2kzQVzQxYqarqtFf0adSDlFu3btGhQ1cCAi5jbm6HThfB\npEnfMHLkCENHEyLLHT9+nFbtW9F6uSelWpQkPiqeY1OPc2vDbSwsLYjQRmBuaQaxCj/P/xkvL68s\nyeXn54dXVy8GXuyHubV5cvvOAbtp7dKGSd9MypIc/7pz5w7l3Nz4NDaWZ4dNQYBP0aJcv307xUAr\nISGBSRMmsGD+fB5FRlKxdGmmzJhBu3btsjS3EJlFikTGx9jHX0KIrHPr1i1quFen5hc1qDqgCnGR\n8RyfeoJovxh+mv0TfYb3oc/pninOSYxLZIb9bB4/eoy1tbWBkqddYmIiO3fu5PTp0zg7O9OlSxds\nbVNvoiJETpPpRaLMkF0GKdeuXePhw4dUqlQJjUbz1v3cvn2b5cu9uX8/jHffbUKbNm0wNTXNwKRC\nZJ73urxHwjtx1PyoRnKbqqqsqreGOWPn4urqSnx8PJUrV87S/64nTprI3ug9vDvNI0V70MEgzn1x\nnrPHz2b4NfV6PZcvX6Zw4cKp3lTau3cvn3XuTNfHj1O0q8AUExOioqNf+NRNVVX0er18J4gcR4pE\nxie7jL+EEFkjICCAMV+PYc/OPVhZW9GtezemTZ6GjY0NRV2K8t72dhStVST5+DOLzxK5PoqDew4a\nMHXaPHz4EI8WHmjNtTg1L0rEhUhCjobw544/qVmzpqHjCZGp0jIGe+2aROLFXF1dcXV1TVcfGzdu\npHfvAej1FYiLs2HJks2UKfMdhw7tw8bGJoOSCvFmVFXFz8+PwMBAKlSoQPXq1V967PkL52k2/p0U\nbYqiUKSRIwEBAbRt2zaz476QjcaGhJCEVO2xj+My5c/WyJEjWTR3Lol6PXqgVPHi7Dt8OHnxRhcX\nF+7Fx6MjaZLqvx4AeW1tsbCweEGvSf9bSoFICCGEEFmtfPnybN+4/YWfLfxxIR94fUDN4TUoWKUA\nwfuDCVhxiQN7fLI45dsZMWYENvU0vPdj2+Q3uS+su0jHbh25fvk6Jibp3QBciOxN/gQYSGRkJH36\n9CcmpjtxcZ5AI6KienPxYiyTJ081dDyRSz148AD3hu6079WemX/MoGWHFni08ODxc2/A/MvN1ZW7\np+6l7udUGKVKlcrsuC/VpUsXAtZf4uHV/3YDS4xN5NT3pxnQY0Cjc97iAAAgAElEQVSGXmvKlCks\nmj2brno9/wNGAZpbt6hRsSJ6vR6AMmXKUL1WLfZbWJD49DwtsEejYdiIEbKAvRBCCCGyjc6dOuOz\n24fiN1y4Oy+Uumb1OXPyLFWrVjV0tNfS6/WsX7OeBuPrpRh/VehcnkSLRE6ePGnAdEIYB5luZiCr\nV6/mww+/48mTjs99chdHx13cvRtkkFwid2vZtiXaclG8M70JiomCXqfnzyF7KR1fmlXLVqc6fv/+\n/XTt15UO29pTpLoj+kQ9p+b7c/HHSwQGBL70DZmssHjJYkaNGUX5ruWwyGfB1bVXaeTemDXeazL0\n7RwHGxuaRkfz7HLcemAWMP/33+nbty8A4eHhdO/UiRPHjlHQ0pJ7cXEMGDCAWfPmydtCIteR6WbG\nJ7eMv4QQuVtCQgLWGmu+0I7G1CLl+GtNo3UsnLCIpk2bGiidEJlP1iQyYkuXLuXTT+ej1T6/EO1D\nHBzW8fBh6rczhMhMISEhlKtcjqG3h6RY7DnmUQwLXH7m3p17L1zQb5n3MkZ/MRrLvBZow6MpU7oM\nq35fle7pmBkhKCiItWvXEqWNopVnK+rWrZumt3ZCQkL4eeFCzvj5UaZCBT765JOX3o+FovAZkOe5\n9g1A7f79+e2331K037x5k9u3b1O+fHny58//djcmRDYnRSLjk1vGX0II0eDdBhTo40DVflWS2x5e\nDce7zkpCboWQJ8/zozohcg5Zk8iINW/eHJ3uMyCKZ3+8NDU9R9u2WbMDlBDPCgsLw87RLkWBCMA6\nnzWWeSyJiIh4YZGob+++dO/anYCAAOzs7ChZsmRWRX4tFxcXxowZ80bnnDt3jqaNG1M6Lg6nuDj8\nfHz49Zdf2Lht2wufLFlbWHA3Pp7Sz7SpJG1xP+gFr12XKFGCEiVKvFEmIYQQQgiRMeZMn0Pz1s15\ncjuKki1K8OD8A45POsF3U76TApEQyJtEBjVu3ARmz/4ZrdYdsMPS8iq2trc4ffoEzs7Oho4ncpnY\n2FiKOBehx5Gu5C/z3xsuISdD2NnpT4KvB+eKaVH1a9akwOnTPLu3RSBwyNGRG3fupFrMcOjQoaxc\nsIC+gAOgAw4Bp8zNiYyNlcUPhXgBeZPI+OSm8ZcQQgQEBPD97O85efokLs7FGf7xCJo3b27oWEJk\nOplulg3s2rWLefMWERr6gJYt32HEiM8oVKiQoWOJXGrW3FnMWDSDd+d5ULR2EW79FcyBT32ZPmE6\n/fv2N3S8TPfo0SOKFS7M6ISEFLuQqcAvefKw+8gRqlSpkuq8t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      "text/plain": [
       "<matplotlib.figure.Figure at 0xd2a9048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,7))\n",
    "ax = fig.add_subplot(121)\n",
    "ax.scatter(iris_X_prime[:,0],iris_X_prime[:,1],c=y,s=40)\n",
    "ax.set_title('Regular PCA')\n",
    "\n",
    "ax2 = fig.add_subplot(122)\n",
    "ax2.scatter(iris_X_scaled[:,0],iris_X_scaled[:,1],c=y,s=40)\n",
    "ax2.set_title('Scaling followed by PCA')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "pipe = Pipeline([('scaler', StandardScaler()), ('pca',decomposition.PCA(n_components=2))])\n",
    "iris_X_scaled = pipe.fit_transform(iris_X)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
